### Factors Of 48

Your problem will now be over how to find out the factors of 48, how to solve the prime factor of 48. Some of our friends are also like this. Those who do not know about the factor, what is the factor. In this post, we will be able to get information about how many methods of solving the factor, how to solved the factor. So let us see how we can solve Factor of 48 with ease. Whatever information we are going to achieve in this. In that, the problem that solving your factor will end. You will be able to solve the question easily.

## What is the Factor?

A natural number that divides a given number exactly ( with remainder Zero ) is called a factor of given number.

## Properties of factors:

1. A factor of a number is an exact divisor of that number.
2. A factor of a number is less than or equal to that number.
3. Every non-zero number is a factor if itself. The greatest factor of a number is the number itself.
4. 1 is a factor of every number.
5. 0 is never a factor of any number.

## Factors of 48 in Pairs

Solution:

First write multiplication facts of 48.

48 = 1 x 48

48 = 2 x 24

48 = 3 x 16

48 = 4 x 12

48 = 6 x 8

So, the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

## Prime Factors of 48

Consider the number 48. It is a composite number as it has more than two factors. We can Write its multiplication facts and factors as follows:

48 = 1 x 48       48 = 2 x 24     48 = 3 x 16     48 = 4 x 12      48 = 6 x 8

Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48 are composite numbers.

We can change them to prime numbers. the process looks like a tree called factor tree.

Though the prime factors appear in different order but in each case the prime factors are the same.

Conversationally we write the prime factors from the smallest to the biggest.

48 = 2 x 2 x 2 x 2 x 3

Thus, a number can be expressed as a product of prime factors.

We can factories every composite number into prime factors in one and only one way though their order may be different.

## Prime Factorisation

To find prime factors we first test the divisibility of the given number by 2,3,5 and 11. Now we divide the number by the smallest prime divisor ( that divides without remainder ).
Repeat the process till the quotient is 1. Put the product of the prime number divisors ( Factors ) equal to the number.

## Prime Factorisation of 48.

2 x 2 x 2 x 2 x 3 = 48

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