Q: What are the prime factors of the number 693,232?

 A: 2, 37, 1171

Why are those the prime factors of the number 693,232?

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 693,232

693,232
Factor Arrows
2346,616
Factor Arrows
2173,308
Factor Arrows
286,654
Factor Arrows
243,327
Factor Arrows
371,171

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, 37, 1171

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 37 x 1,171 = 693,232

This can also be written as 24 x 371 x 1,1711 = 693,232

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


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