Q: What are the prime factors of the number 162,534,295?

 A: 5, 7, 11, 67, 6301

Why are those the prime factors of the number 162,534,295?

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 162,534,295

162,534,295
Factor Arrows
532,506,859
Factor Arrows
74,643,837
Factor Arrows
11422,167
Factor Arrows
676,301

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:

5, 7, 11, 67, 6301

We can check our work by multiplying all of the prime factors together: 5 x 7 x 11 x 67 x 6,301 = 162,534,295

This can also be written as 51 x 71 x 111 x 671 x 6,3011 = 162,534,295

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


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