Q: What are the prime factors of the number 360,776?

 A: 2, 13, 3469

Why are those the prime factors of the number 360,776?

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 360,776

360,776
Factor Arrows
2180,388
Factor Arrows
290,194
Factor Arrows
245,097
Factor Arrows
133,469

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, 13, 3469

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 3,469 = 360,776

This can also be written as 23 x 131 x 3,4691 = 360,776

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


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