Question

How do you list all the factors of 75?

Answer 1

Hint: The factors of 75 are the numbers that produce the result as 75 when two numbers are multiplied together. Pair factors of 75 are the whole numbers which could be either positive or negative but not a fraction or decimal number.

Complete step-by-step answer:
To find the factors, Find the two numbers, which gives the result as 75 under the multiplication,
Such as,
$1 \times 75 = 75$
$3 \times 25 = 75$
$5 \times 15 = 75$
We know that 3 is a prime number which has only two factors, i.e., 1 and the number itself.
So, it cannot be further factorized. But look at the number 25, which is a composite number but not a prime number. So it can be further factorized.
$25 = 5 \times 5 \times 1$
Therefore, the factors of 75 are written as $1,3,5,15,25,75$

Note: So, for solving questions of such type, we first write what has been given to us. Then we write down what we have to find. Then we think about the concept or formula which contain the known and the unknown and pick the one which is most suitable.