# Learn About Various Ways to Factorize Numbers Like 32 and 15

When we
state that a number X is a factor of a number Y, it means that Y can exactly
divide X and leave no remainder. Also, when Y and Y’ multiplied gives X, then
it is said that Y and Y’ are both factors of X. For example, 3 × 5 is a
factorization of the integer 15 and (3,5) are factors of 15.

## Factors of 15

We will be learning about finding factors of
15 as the product of factor pairs and prime numbers.

### Factor Pairs of 15

If we
consider the factors of 15 as pairs, then 15 is the result of multiplying two
numbers. For instance, the answer to 1×15 is 15. In this case, the factors of
15 are considered to be the numbers 1 and 15.

### Prime Factorisation of 15

In addition
to having 1 as its divisor, the integer 15 has various lower integers. As a
result, 15 is known as a composite number. We shall discover the factors of 15
using the Prime Factorization method, as shown below.

Let us now divide 5 by the next prime integer, which is 5 (5 ÷ 5 = 1). We're not going any further with the number division because we received outcome 1.

## Factors of 32

The integers
that can be divided equally into 32 are known as factors of 32.
There are six factors of 32: 1, 2, 4, 8, 16, and 32. The sum of all 32 factors
is 63. It has Factors 1, 2, 4, 8, 16, 32, and Pair Factors (1, 32), (2, 16),
(3, 32), (3, 32) and (4, 8).

### What are Factors of 32?

● A factor is a number that precisely divides
another number, leaving no remainder.

● The number 32 is an even composite number.
If a number contains more than two factors, it is said to be composite.

● Think about the number 23. It only has two
factors, 1 and 23. It is prime because it is only divided by one and 23. Think
about the number 48. It has more than two factors, making it a composite
number.

### How to Calculate Factors of 32?

● Let us begin with the whole number 1 and
work through the factors of 32.

32 ÷ 1= 32

● Then, divide the quotient (32) by 2.

32 ÷ 2= 16

● Next, we get.

32 ÷ 4= 8

● Similarly, we complete the calculation of
all 32 factors, which are 1, 2, 4, 8, 16, and 32.