Q: What are the prime factors of the number 352,280?

 A: 2, 5, 8807

Why are those the prime factors of the number 352,280?

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 352,280

352,280
Factor Arrows
2176,140
Factor Arrows
288,070
Factor Arrows
244,035
Factor Arrows
58,807

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, 8807

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 8,807 = 352,280

This can also be written as 23 x 51 x 8,8071 = 352,280

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


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