Q: What are the prime factors of the number 162,126,530?

 A: 2, 5, 29, 191, 2927

Why are those the prime factors of the number 162,126,530?

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 162,126,530

162,126,530
Factor Arrows
281,063,265
Factor Arrows
516,212,653
Factor Arrows
29559,057
Factor Arrows
1912,927

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:

2, 5, 29, 191, 2927

We can check our work by multiplying all of the prime factors together: 2 x 5 x 29 x 191 x 2,927 = 162,126,530

This can also be written as 21 x 51 x 291 x 1911 x 2,9271 = 162,126,530

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


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