Q: What are the prime factors of the number 162,336,111?

 A: 3, 7, 17, 454723

Why are those the prime factors of the number 162,336,111?

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 162,336,111

162,336,111
Factor Arrows
354,112,037
Factor Arrows
77,730,291
Factor Arrows
17454,723

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, 7, 17, 454723

We can check our work by multiplying all of the prime factors together: 3 x 7 x 17 x 454,723 = 162,336,111

This can also be written as 31 x 71 x 171 x 454,7231 = 162,336,111

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


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