Q: What are the prime factors of the number 632,340?

 A: 2, 3, 5, 1171

Why are those the prime factors of the number 632,340?

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 632,340

632,340
Factor Arrows
2316,170
Factor Arrows
2158,085
Factor Arrows
352,695
Factor Arrows
317,565
Factor Arrows
35,855
Factor Arrows
51,171

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, 5, 1171

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 1,171 = 632,340

This can also be written as 22 x 33 x 51 x 1,1711 = 632,340

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


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