# Factors Of 32 – With Division and Prime Factorization

## Factors Of 32

A factor of 32 is an integer that can divide 32 completely. When x is a factor of 32, then 32 is evenly divisible by x. In the case of 32, it is a composite number, so that it will have more than two factors.

Factors of 32:

1, 2, 4, 8, 16 and 32

There are no fractions or decimal numbers associated with the number 32. Instead, it is a whole number that can be positive or negative, but not a fraction. It is possible to calculate a number’s factors using the factorization method.

## What are the Factors Of -32

Factors of -32: -1,- 2, -4, -8, -16, and -32.

We can get -32 by having (-1, 32), (-2, 16), and (-4, 8) as a pair of factors. Similarly, we can also get -32 by having (1, -32), (2, -16), and (4, -8) as a pair of factors.

## Pair Factors of 32

You can find the factor pairs of 32 by multiplying two numbers to get the original number of 32.

These numbers are as follows:

## How to calculate the Factors of 32?

We can find the factors of 32 by dividing the integer 32 by all the natural numbers between 1 and 32. The factors are the numbers that divide 32 evenly or entirely.

Firstly, any natural number is also a factor in itself.

32 ÷ 1 = 32

Since 32 is an even number, it can be divided by 2 but not by an odd number (in this case). Thus,

32 ÷ 2 = 16

Here are some even numbers for you to try.

32 ÷ 4 = 8

32 ÷ 8 = 4

32 ÷ 16 = 2

32 ÷ 32 = 1

In total, there are six factors of 32.

Factors of 32:

1, 2, 4, 8, 16 and 32

## Prime Factors of 32

As a composite number, 32 should have prime factors. Here’s how to find those prime factors.

Step 1: To begin, divide 32 by the smallest prime factor, say 2.

32 ÷ 2 = 16

Step 2: Divide 16 by 2 again and continue.

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

As a result of the division process, we received the number 1. Consequently, we cannot proceed. Hence, the prime factors of 32 are 2 × 2 x 2 x 2 x 2 or 25, where 2 is a prime number.

You can use prime factorization to find the exact number of factors in a number. For example, 32 has a prime factor of 25. Prime factorization gives an exponent of 5. When we multiply 1 by the exponent, we get 6, since 5 + 1 = 6. As a result, 32 has 6 factors.

## Solved Examples

Q.1: If there are 32 chocolates distributed among 4 children in a class. How many chocolates does each child get?

Solution:

Number of chocolates = 32

Number of child’s = 4

Each child will get = 32/4 = 8 chocolates

Q.2: If there are 16 mangos in one box and the number of boxes is 2, how many total mangos are there in the boxes?

Answer: each box has 16 mangos

Number of boxes = 2

Therefore, total number of mangos = 16 x 2 = 32

Q.3: What are the common factors of 32 and 64?

1, 2, 4, 8, 16, 32, and 64 are the factors of 32. So, leaving out 64, all the factors are common to 32 and 64.

## FAQs

### How many factors are there in 32?

Numbers 1, 2, 4, 8, 16, and 32 are the factors of 32.

### What is the difference between multiples and factors of 32?

Different factors and multiples of 32 exist. Multiples of 32 are infinitely determinable, but factors of 32 are finite integers.

### In math, what are the multiples of 32?

There are 10 multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288 and 320.

### What are the prime factors of 32?

Prime factorization of 32 is 2 x 2 x 2 x 2 x 2.

### What is the common factor among 32, 36, and 42?

The first step is to write down all the factors.

The factors of 32 are 1, 2, 4, 8, 16, 32.

There are 36 factors, which are 1, 2, 3, 4, 6, 9, 12, 18, 36.

1, 2, 3, 6, 7, 14, 21, 42 are factors of 42.

Find the common factors now. Only 1 and 2 are common.