Q: What are the prime factors of the number 60,565,400?

 A: 2, 5, 7, 43261

Why are those the prime factors of the number 60,565,400?

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 60,565,400

60,565,400
Factor Arrows
230,282,700
Factor Arrows
215,141,350
Factor Arrows
27,570,675
Factor Arrows
51,514,135
Factor Arrows
5302,827
Factor Arrows
743,261

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, 43261

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 7 x 43,261 = 60,565,400

This can also be written as 23 x 52 x 71 x 43,2611 = 60,565,400

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


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