Question

How do you list all the factors of \[70\] ?

Answer 1

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 \[1 \times 70 = 70\]
Similarly,
We take pair factor \[(2,35)\] of \[70\] , if \[2 \times 35 = 70\]
We take pair factor \[(5,14)\] of \[70\] , if \[5 \times 14 = 70\]
We put the pair factor \[(7,10)\] of \[70\] , if \[7 \times 10 = 70\] .
Finally, take the factor of the prime number from above and the pair factor is multiplied as \[70 = 7 \times 5 \times 2 \times 1\] .
Hence, write down the list of all factors of \[70\] is obtained.
So, the correct answer is “ \[70 = 7 \times 5 \times 2 \times 1\] ”.

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 \[2 \times 35 = 70\] . 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.