Q: What are the prime factors of the number 162,450,555?

 A: 3, 5, 17, 179, 3559

Why are those the prime factors of the number 162,450,555?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 162,450,555

162,450,555
Factor Arrows
354,150,185
Factor Arrows
510,830,037
Factor Arrows
17637,061
Factor Arrows
1793,559

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 5, 17, 179, 3559

We can check our work by multiplying all of the prime factors together: 3 x 5 x 17 x 179 x 3,559 = 162,450,555

This can also be written as 31 x 51 x 171 x 1791 x 3,5591 = 162,450,555

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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