Q: What are the prime factors of the number 2,518,528?

 A: 2, 4919

Why are those the prime factors of the number 2,518,528?

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 2,518,528

2,518,528
Factor Arrows
21,259,264
Factor Arrows
2629,632
Factor Arrows
2314,816
Factor Arrows
2157,408
Factor Arrows
278,704
Factor Arrows
239,352
Factor Arrows
219,676
Factor Arrows
29,838
Factor Arrows
24,919

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, 4919

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 4,919 = 2,518,528

This can also be written as 29 x 4,9191 = 2,518,528

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


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