Table of 74 – Learn and Memorize the Multiplication Table of 74
FAQs on Table of 74 – Learn and Memorize the Multiplication Table of 74
1. What are the first ten multiples of the number 74?
The first ten multiples of 74 are the results of multiplying 74 by the numbers 1 through 10. They are 74, 148, 222, 296, 370, 444, 518, 592, 666, and 740. Each number in this sequence is obtained by adding 74 to the previous one.
2. How is the multiplication table of 74 constructed?
The table of 74 is constructed using the principle of repeated addition. You begin with 74 (which is 74 x 1). To find the next value (74 x 2), you simply add 74 to the previous result (74 + 74 = 148). This pattern continues for the entire table; for instance, 74 x 3 is calculated as 148 + 74, which equals 222.
3. What are the factors of 74?
The factors of a number are integers that divide it perfectly without leaving a remainder. For the number 74, the factors are 1, 2, 37, and 74. These can also be expressed as factor pairs that multiply to give 74, which are (1, 74) and (2, 37).
4. How can you quickly calculate a value from the 74 times table, for example, 74 x 8?
To quickly calculate 74 x 8, you can use the distributive property of multiplication. First, break 74 down into (70 + 4). Then, multiply each part by 8 and add the results:
- First, multiply 70 by 8, which is 560.
- Next, multiply 4 by 8, which is 32.
- Finally, add these two products together: 560 + 32 = 592.
This method makes it easier to handle larger numbers mentally.
5. Why is 74 not a perfect square?
A number is considered a perfect square only if its prime factors can be grouped into identical pairs. To check for 74, we find its prime factors, which are 2 × 37. Since the prime factors 2 and 37 do not form a pair, 74 is not a perfect square. Consequently, its square root is an irrational number.
6. What is a simple trick to learn the table of 74 without memorising it fully?
A practical trick for the 74 times table is to split the multiplication. Think of 74 as (70 + 4). To find the answer for any number, say 74 x 6, follow these steps:
- Multiply the number by 70 (6 x 70 = 420).
- Multiply the number by 4 (6 x 4 = 24).
- Add the two results: 420 + 24 = 444.
This approach simplifies the calculation by breaking it into more manageable parts.
7. How is the table of 74 related to the table of 37?
The multiplication table of 74 is directly connected to the table of 37 because 74 is double of 37 (i.e., 2 × 37 = 74). This means that every result in the 74 times table is exactly twice the corresponding result in the 37 times table. For example, since 37 × 5 = 185, then 74 × 5 will be 185 × 2, which equals 370.
8. In which multiplication tables does the number 74 appear as a product?
A number appears as a product in the multiplication tables of its factors. Since the factors of 74 are 1, 2, 37, and 74, the number 74 will be found as a result in these four tables:
- The table of 1 (1 × 74 = 74)
- The table of 2 (2 × 37 = 74)
- The table of 37 (37 × 2 = 74)
- The table of 74 (74 × 1 = 74)
