Q: What are the prime factors of the number 5,060,832?

 A: 2, 3, 7, 17, 443

Why are those the prime factors of the number 5,060,832?

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 5,060,832

5,060,832
Factor Arrows
22,530,416
Factor Arrows
21,265,208
Factor Arrows
2632,604
Factor Arrows
2316,302
Factor Arrows
2158,151
Factor Arrows
352,717
Factor Arrows
77,531
Factor Arrows
17443

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, 17, 443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 443 = 5,060,832

This can also be written as 25 x 31 x 71 x 171 x 4431 = 5,060,832

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


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