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Maths

Table of 31 Multiplication Table with Values

Table of 31 Multiplication Table with Values

Q: 1. What is the table of 31?

The table of 31 is the list of multiples of 31 obtained by multiplying 31 by natural numbers.31 × 1 = 3131 × 2 = 6231 × 3 = 9331 × 4 = 12431 × 5 = 15531 × 6 = 18631 × 7 = 21731 × 8 = 24831 × 9 = 27931 × 10 = 310It helps in solving multiplication, division, and word problems efficiently.

Q: 2. How do you calculate 31 multiplied by any number?

To calculate 31 multiplied by any number, multiply 30 and 1 separately, then add the results.Example: 31 × 7(30 × 7) + (1 × 7)210 + 7 = 217This distributive method makes multiplication of 31 easier and faster.

Q: 3. What is 31 times 12?

The value of 31 × 12 is 372.31 × 12 = (31 × 10) + (31 × 2)310 + 62 = 372This method breaks the number into tens and units for quick calculation.

Q: 4. Is 31 a prime number?

Yes, 31 is a prime number because it has only two factors: 1 and 31.Factors of 31: 1 and 31It is not divisible by 2, 3, 5, or any other number except 1 and itself.This makes the multiples in the table of 31 unique and non-repeating.

Q: 6. How can I memorize the table of 31 easily?

You can memorize the 31 times table by using patterns and repeated addition.Add 31 repeatedly: 31, 62, 93, 124...Break it into (30 × n) + nPractice writing and reciting dailySince 31 is 1 more than 30, you can use the 30 table and add the number again.

Q: 7. What is 31 times 25?

The value of 31 × 25 is 775.31 × 25 = (30 × 25) + (1 × 25)750 + 25 = 775This method simplifies large multiplication using the distributive property.

Q: 8. What is the pattern in the table of 31?

The pattern in the table of 31 increases by 31 each time.31 → 62 → 93 → 124 → 155Each term = Previous term + 31This is an arithmetic sequence with common difference 31.

Q: 9. How is the table of 31 useful in division?

The table of 31 helps in division by identifying multiples of 31 quickly.Example: 372 ÷ 31Since 31 × 12 = 372The quotient is 12Knowing the multiplication table makes division faster and more accurate.

Q: 10. What is 31 times 100?

The value of 31 × 100 is 3100.When multiplying by 100, add two zeros to 3131 × 100 = 3100This follows the place value rule in multiplication by powers of 10.

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How to Learn and Use the Multiplication Table of 31 up to 20 with Solved Examples

The multiplication table of 31 is one of the easiest tables to learn and practice. The operation of multiplication has applications in almost every other sum. So learning multiplication tables enhances your speed of solving Math problems to a great extent.

When you know the multiplication tables, you do not need to go for the long two-step or three-step multiplications for Math calculations. Instead, you can solve the sums mentally. Hence, learning the multiplication table of 31 is important to improve your mental Math skills as well.

Speed Tricks

To find the second multiple in the table of a number ‘M’, we have to add the number to itself once, that is, M x 2 = M + M. Thus, to write down the multiplication table of 31, find its multiples by adding 31 to itself for the desired number of times. For example, if you are to find 31 x 4, add 31 to itself four times, that is, 31 + 31 + 31 + 31 = 124.

Table Chart of 31 from 1 to 10

The table below displays the first 10 multiples of 31 for the self-study purpose of students.

31 x 1 = 31	31 x 6 = 186
31 x 2 = 62	31 x 7 = 217
31 x 3 = 93	31 x 8 = 248
31 x 4 = 124	31 x 9 = 279
31 x 5 = 155	31 x 10 = 310

Try These Yourself

Now let us find out how the multiplication table of 31 is applied for solving some easy math problems. Once you learn the table of 31 by heart, solving these math problems will take very less time. It is because you don’t have to go for the long multiplication method to find the multiples of 31.

Simplify

a. 10 - (31 x 4) + 17

Solution:

= 10 - (31 x 4) + 17

= 10 - 124 +17

= 27 - 124

= -97

Ans. - 97

b. 2a + 31( 10 - 4)a

Solution:

= 2a + 31( 10 - 4)a

= 2a + 31 (6) a

= 2a + 31 x 6a

= 2a + 186a

= 188a

Ans. 188a

Word Problems on Multiplication Table of 31

1. Amit can read 10 pages in 31 minutes. How long will it take Amit to read 30 pages?

Solution:

Time taken by Amit to read 10 pages= 31 minutes

Time taken by Amit to read 1 page = (\[\frac{31}{10}\]) minutes

Time taken by Amit to read 30 pages = (\[\frac{31 x 30}{10}\]) minutes

= (31 x 3) minutes

= 93 minutes

Ans. Amit will take 93 minutes to read 30 pages.

2. A shopkeeper sells 12 apples for Rs. 24. Find out how much will Ravi have to pay to buy 31 apples?

Solution:

Cost of 12 apples = Rs. 24

Cost of 1 apple = Rs. 24/12

= Rs. 2

Cost of 31 apples = Rs. (31 x 2)

= Rs. 62

Ans. Ravi will have to pay Rs. 62 to buy 31 apples.

3. The price of 1 ink pen is Rs. 31. Tina wants to buy 12 ink pens for her brother. Calculate how much she will have to pay?

Solution:

The price of 1 ink pen = Rs. 31

The price of 12 ink pens = Price of 10 ink pens + Price of 2 ink pens

= Rs. {(31 x 10) + 31 + 31}

= Rs. 310 + 31 + 31

= Rs. 372

Ans. Tina will have to pay Rs. 372 to buy 12 ink pens.

Practice Questions:

1. Mohan buys a pair of socks for Rs. 31. What amount of money will he have to pay to buy 5 pairs of the same socks?

Ans: Rs. 155

2. Kabir scored 96 and 93 in Maths and English in his final exam. He scored 31 in Social Science and Hindi, and 84 in Science. Calculate his total score in the exam.

Ans: 335

Table Chart of 31 from 11 to 20

Knowing the first twenty multiples of the 31 table will give you an added advantage for solving various Math problems. You will not have to go for the long multiplication method to calculate the multiples of 31 while solving a word problem or simplifying a numerical sum. Instead, you will be able to write the multiple right away once you memorize the multiplication table of 31 from 1 to 20.

The image given below displays the multiples of the table of 31 from 11 to 20. Learn it by heart and practice writing it to memorize the multiples.

31 x 11 = 341	31 x 16 = 496
31 x 12 = 372	31 x 17 = 527
31 x 13 = 403	31 x 18 = 558
31 x 14 = 434	31 x 19 = 589
31 x 15 = 465	31 x 20 = 620

For Parents and Teachers: How to Read out the Table of 31 to Your Kids?

To encourage kids to learn the table of 31, it is suggested that parents and teachers must read out the 31 tables loudly to them. The ideal way to read out the multiplication table of 31 to your kids is given below.

Thirty-one ones are thirty-one
Thirty-one twos are sixty-two
Thirty-one threes are ninety-three
Thirty-one fours are one hundred and twenty-four
Thirty-one fives are one hundred and fifty-five
Thirty-one sixes are one hundred and eighty-six
Thirty-one sevens are two hundred and seventeen
Thirty-one eighths are two hundred and forty-eight
Thirty-one nines are two hundred and seventy-nine
Thirty-one tens are three hundred and ten

Wrapping It All Up!

Memorizing the table of 31 should ideally not consume much time as you can calculate the multiples of 31 mentally within a few minutes. Yet, having learned the 31 table by heart will help you speed up solving sums with its applications.

Implement the tips and tricks discussed above to learn the table of 31 and practice more sums based on it to have it at your fingertips. Remember, practice is your key for learning the table of 31 by heart.

FAQs on Table of 31 Multiplication Table with Values

1. What is the table of 31?

The table of 31 is the list of multiples of 31 obtained by multiplying 31 by natural numbers.

31 × 1 = 31
31 × 2 = 62
31 × 3 = 93
31 × 4 = 124
31 × 5 = 155
31 × 6 = 186
31 × 7 = 217
31 × 8 = 248
31 × 9 = 279
31 × 10 = 310

It helps in solving multiplication, division, and word problems efficiently.

2. How do you calculate 31 multiplied by any number?

To calculate 31 multiplied by any number, multiply 30 and 1 separately, then add the results.

Example: 31 × 7
(30 × 7) + (1 × 7)
210 + 7 = 217

This distributive method makes multiplication of 31 easier and faster.

3. What is 31 times 12?

The value of 31 × 12 is 372.

31 × 12 = (31 × 10) + (31 × 2)
310 + 62 = 372

This method breaks the number into tens and units for quick calculation.

4. Is 31 a prime number?

Yes, 31 is a prime number because it has only two factors: 1 and 31.

Factors of 31: 1 and 31
It is not divisible by 2, 3, 5, or any other number except 1 and itself.

This makes the multiples in the table of 31 unique and non-repeating.

5. What are the first 15 multiples of 31?

The first 15 multiples of 31 are obtained by multiplying 31 by numbers from 1 to 15.

31, 62, 93, 124, 155
186, 217, 248, 279, 310
341, 372, 403, 434, 465

These values form the extended table of 31.

6. How can I memorize the table of 31 easily?

You can memorize the 31 times table by using patterns and repeated addition.

Add 31 repeatedly: 31, 62, 93, 124...
Break it into (30 × n) + n
Practice writing and reciting daily

Since 31 is 1 more than 30, you can use the 30 table and add the number again.

7. What is 31 times 25?

The value of 31 × 25 is 775.

31 × 25 = (30 × 25) + (1 × 25)
750 + 25 = 775

This method simplifies large multiplication using the distributive property.

8. What is the pattern in the table of 31?

The pattern in the table of 31 increases by 31 each time.

31 → 62 → 93 → 124 → 155
Each term = Previous term + 31

This is an arithmetic sequence with common difference 31.

9. How is the table of 31 useful in division?

The table of 31 helps in division by identifying multiples of 31 quickly.

Example: 372 ÷ 31
Since 31 × 12 = 372
The quotient is 12

Knowing the multiplication table makes division faster and more accurate.

10. What is 31 times 100?

The value of 31 × 100 is 3100.

When multiplying by 100, add two zeros to 31
31 × 100 = 3100

This follows the place value rule in multiplication by powers of 10.