Q: What are the prime factors of the number 367,160,418?

 A: 2, 3, 6799267

Why are those the prime factors of the number 367,160,418?

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 367,160,418

367,160,418
Factor Arrows
2183,580,209
Factor Arrows
361,193,403
Factor Arrows
320,397,801
Factor Arrows
36,799,267

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, 6799267

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 6,799,267 = 367,160,418

This can also be written as 21 x 33 x 6,799,2671 = 367,160,418

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


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