Q: What are the prime factors of the number 2,472,792?

 A: 2, 3, 7, 41, 359

Why are those the prime factors of the number 2,472,792?

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 2,472,792

2,472,792
Factor Arrows
21,236,396
Factor Arrows
2618,198
Factor Arrows
2309,099
Factor Arrows
3103,033
Factor Arrows
714,719
Factor Arrows
41359

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, 7, 41, 359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 41 x 359 = 2,472,792

This can also be written as 23 x 31 x 71 x 411 x 3591 = 2,472,792

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


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