Prime Factor Chart

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Prime number is a number which has no other factors other than one and itself. Examples of prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29……..
Prime factors of a given number is expressing the given number as a product of all prime numbers.
 
Example 1: Find the prime factors of the number 24?

Solution: Given is a number 24.

To find its prime factors we divide the given number with the smallest prime number first.

24 ÷ 2 = 12; so, 24 = 12 * 2

Now 12 can be further divided by the prime number 2.

So here we have 12 ÷ 2 = 6. 24 = 2 * 2 * 6.

The number 6 can be further divided by 2.

So here we have 6 ÷ 2 = 3.

The number 3 itself is a prime number. So it cannot be further divided by another prime number.

Hence the number 24 = 2 * 2 * 2 * 3.
 
Example 2: Find the prime factors of the number 15?

Solution: Given is a number 15.

To find its prime factors we divide the given number with the smallest prime number first.

Here 15 cannot be divided by 2, so the next prime number 3 can be used for factorization.

So here we have 15 ÷ 3 = 5.

The number 5 itself is a prime number. So it cannot be further divided by another prime number.

Hence the number 15 = 3 * 5.

 Prime number is a number which has no other factors other than one and itself. Examples of prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29……..

Prime factors of a given number is expressing the given number as a product of all prime numbers.
 
Example 1: Find the prime factors of the number 24?

Solution: Given is a number 24.

To find its prime factors we divide the given number with the smallest prime number first.

24 ÷ 2 = 12; so, 24 = 12 * 2

Now 12 can be further divided by the prime number 2.

So here we have 12 ÷ 2 = 6. 24 = 2 * 2 * 6.

The number 6 can be further divided by 2.

So here we have 6 ÷ 2 = 3.

The number 3 itself is a prime number. So it cannot be further divided by another prime number.

Hence the number 24 = 2 * 2 * 2 * 3.
 
Example 2: Find the prime factors of the number 15?

Solution: Given is a number 15.

To find its prime factors we divide the given number with the smallest prime number first.

Here 15 cannot be divided by 2, so the next prime number 3 can be used for factorization.

So here we have 15 ÷ 3 = 5.

The number 5 itself is a prime number. So it cannot be further divided by another prime number.

Hence the number 15 = 3 * 5.
 

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