Q: What are the prime factors of the number 56,385?

 A: 3, 5, 7, 179

Why are those the prime factors of the number 56,385?

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 56,385

56,385
Factor Arrows
318,795
Factor Arrows
36,265
Factor Arrows
51,253
Factor Arrows
7179

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:

3, 5, 7, 179

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 179 = 56,385

This can also be written as 32 x 51 x 71 x 1791 = 56,385

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


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