Q: What are the prime factors of the number 4,246,524?

 A: 2, 3, 117959

Why are those the prime factors of the number 4,246,524?

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 4,246,524

4,246,524
Factor Arrows
22,123,262
Factor Arrows
21,061,631
Factor Arrows
3353,877
Factor Arrows
3117,959

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, 117959

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 117,959 = 4,246,524

This can also be written as 22 x 32 x 117,9591 = 4,246,524

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


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