Q: What are the prime factors of the number 369,640?

 A: 2, 5, 9241

Why are those the prime factors of the number 369,640?

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 369,640

369,640
Factor Arrows
2184,820
Factor Arrows
292,410
Factor Arrows
246,205
Factor Arrows
59,241

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, 9241

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 9,241 = 369,640

This can also be written as 23 x 51 x 9,2411 = 369,640

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


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