Q: What are the prime factors of the number 160,550,166?

 A: 2, 3, 7, 23, 23743

Why are those the prime factors of the number 160,550,166?

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 160,550,166

160,550,166
Factor Arrows
280,275,083
Factor Arrows
326,758,361
Factor Arrows
73,822,623
Factor Arrows
7546,089
Factor Arrows
2323,743

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, 23, 23743

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 23 x 23,743 = 160,550,166

This can also be written as 21 x 31 x 72 x 231 x 23,7431 = 160,550,166

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


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