Q: What are the prime factors of the number 161,217,426?

 A: 2, 3, 17, 47, 33629

Why are those the prime factors of the number 161,217,426?

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 161,217,426

161,217,426
Factor Arrows
280,608,713
Factor Arrows
326,869,571
Factor Arrows
171,580,563
Factor Arrows
4733,629

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, 3, 17, 47, 33629

We can check our work by multiplying all of the prime factors together: 2 x 3 x 17 x 47 x 33,629 = 161,217,426

This can also be written as 21 x 31 x 171 x 471 x 33,6291 = 161,217,426

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


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