Q: What are the prime factors of the number 162,707,895?

 A: 3, 5, 7, 131, 3943

Why are those the prime factors of the number 162,707,895?

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 162,707,895

162,707,895
Factor Arrows
354,235,965
Factor Arrows
318,078,655
Factor Arrows
53,615,731
Factor Arrows
7516,533
Factor Arrows
1313,943

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, 7, 131, 3943

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 131 x 3,943 = 162,707,895

This can also be written as 32 x 51 x 71 x 1311 x 3,9431 = 162,707,895

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


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