Q: What are the prime factors of the number 60,563,720?

 A: 2, 5, 7, 73, 2963

Why are those the prime factors of the number 60,563,720?

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 60,563,720

60,563,720
Factor Arrows
230,281,860
Factor Arrows
215,140,930
Factor Arrows
27,570,465
Factor Arrows
51,514,093
Factor Arrows
7216,299
Factor Arrows
732,963

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, 5, 7, 73, 2963

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 73 x 2,963 = 60,563,720

This can also be written as 23 x 51 x 71 x 731 x 2,9631 = 60,563,720

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


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