Q: What are the prime factors of the number 366,363,160?

 A: 2, 5, 89, 102911

Why are those the prime factors of the number 366,363,160?

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 366,363,160

366,363,160
Factor Arrows
2183,181,580
Factor Arrows
291,590,790
Factor Arrows
245,795,395
Factor Arrows
59,159,079
Factor Arrows
89102,911

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, 5, 89, 102911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 89 x 102,911 = 366,363,160

This can also be written as 23 x 51 x 891 x 102,9111 = 366,363,160

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


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