Q: What are the prime factors of the number 724,632?

 A: 2, 3, 109, 277

Why are those the prime factors of the number 724,632?

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 724,632

724,632
Factor Arrows
2362,316
Factor Arrows
2181,158
Factor Arrows
290,579
Factor Arrows
330,193
Factor Arrows
109277

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, 109, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 109 x 277 = 724,632

This can also be written as 23 x 31 x 1091 x 2771 = 724,632

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


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