Q: What are the prime factors of the number 161,603,358?

 A: 2, 3, 7, 97, 39667

Why are those the prime factors of the number 161,603,358?

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 161,603,358

161,603,358
Factor Arrows
280,801,679
Factor Arrows
326,933,893
Factor Arrows
73,847,699
Factor Arrows
9739,667

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, 7, 97, 39667

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 97 x 39,667 = 161,603,358

This can also be written as 21 x 31 x 71 x 971 x 39,6671 = 161,603,358

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


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