Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

How do you list all the factors of 70 ?

Answer
VerifiedVerified
445.8k+ views
like imagedislike image
Hint: In this problem, we need to determine the list of all the factors of 70 by finding any number that can be multiplied together to get the product as the original number is known as pair factors. Factors, also called as divisors, are whole numbers that can be multiplied together to produce another whole number.

Complete step by step solution:
In the given problem,
Factors of 70 .
To find the pair factor can be multiplied to get the original number as 70
Let the pair factor of 70 is (1,70) , if 1×70=70
Similarly,
We take pair factor (2,35) of 70 , if 2×35=70
We take pair factor (5,14) of 70 , if 5×14=70
We put the pair factor (7,10) of 70 , if 7×10=70 .
Finally, take the factor of the prime number from above and the pair factor is multiplied as 70=7×5×2×1 .
Hence, write down the list of all factors of 70 is obtained.
So, the correct answer is “ 70=7×5×2×1 ”.

Note: A factor is one of two or more numbers that divides a given number without a remainder. Multiples and factors are best explained by using a number sentence such as the following:
I.First we find the two numbers which give the original number, 70 by performing multiplication.
II.For example: we take two numbers as 2×35=70 . We know that 2 is a prime number that has two factors of 1 . But, we aren't able to factorize further.
III.But, the other number 35 , which is a composite number which can be factorized in further.
IV.We do the same step to find the remaining factors of the given number, then grouping the factor as a pair of factors.