Q: What are the prime factors of the number 502,010,460?

 A: 2, 3, 5, 7, 44269

Why are those the prime factors of the number 502,010,460?

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 502,010,460

502,010,460
Factor Arrows
2251,005,230
Factor Arrows
2125,502,615
Factor Arrows
341,834,205
Factor Arrows
313,944,735
Factor Arrows
34,648,245
Factor Arrows
31,549,415
Factor Arrows
5309,883
Factor Arrows
744,269

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, 5, 7, 44269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 44,269 = 502,010,460

This can also be written as 22 x 34 x 51 x 71 x 44,2691 = 502,010,460

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


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