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# The Number of prime factors contained in

### What is the number of prime factors contained in the product 307 X 225 X 3411

The Number of Prime factors formula

A factor that is a prime number.

In other words: any of the prime numbers that can be multiplied to give the original

307 X 225 X 3411

= ( 2 X 3 X 5 )7 X ( 2 X 11 )5 X ( 2 X 17 )11

= 27 X 25 X 211 X 37 X 57 X 115 X 1711

Apply this formula

[ am x an = am + n ]

= 27 + 5 + 11 X 37 X 57 X 115 X 1711

= 223 X 37 X 57 X 115 X 1711

Sum of only Powers

Total  Factors : 23 + 7 + 7 + 5 + 11

= 53

#### Total number of prime factors formula

Natural Numbers :

The numbers which are used in counting are known as Natural Numbers or Positive Integers.

There set is denoted by N. Thus, N =  { 1,2,3,4,5,6,7,8,……….. }

Whole Numbers :

The set of whole numbers is denoted by ‘W’  Where  ‘W’ = { 0,1,2,3,4,5,6,7,8,……….. }

Set of Integers :

All counting numbers. Their negative and ‘O’. When combined from the set of integers.

This is denoted by I . Thus, I =  { ……-3,-2,-1,0, 1,2,3,4,5,6,7,8,……….. }

Even Numbers :

Those numbers which are exactly divisible by 2 are known as even numbers. For example  2, 4, 6, 8, ………

Odd Numbers :

The numbers which are not exactly divisible by 2 are Called Odd numbers. For example  1, 3, 5, 7, ……… are Odd Numbers

A factor that is a prime number. In other words: any of the prime numbers that can be multiplied to give the original total number of prime factors formula

Reasoning

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