Q: What are the prime factors of the number 721,272?

 A: 2, 3, 41, 733

Why are those the prime factors of the number 721,272?

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 721,272

721,272
Factor Arrows
2360,636
Factor Arrows
2180,318
Factor Arrows
290,159
Factor Arrows
330,053
Factor Arrows
41733

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, 41, 733

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 41 x 733 = 721,272

This can also be written as 23 x 31 x 411 x 7331 = 721,272

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


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