Q: What are the prime factors of the number 60,514,416?

 A: 2, 3, 29, 43, 337

Why are those the prime factors of the number 60,514,416?

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 60,514,416

60,514,416
Factor Arrows
230,257,208
Factor Arrows
215,128,604
Factor Arrows
27,564,302
Factor Arrows
23,782,151
Factor Arrows
31,260,717
Factor Arrows
3420,239
Factor Arrows
2914,491
Factor Arrows
43337

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, 29, 43, 337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 29 x 43 x 337 = 60,514,416

This can also be written as 24 x 32 x 291 x 431 x 3371 = 60,514,416

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


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