Q: What are the prime factors of the number 60,253,808?

 A: 2, 1439, 2617

Why are those the prime factors of the number 60,253,808?

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 60,253,808

60,253,808
Factor Arrows
230,126,904
Factor Arrows
215,063,452
Factor Arrows
27,531,726
Factor Arrows
23,765,863
Factor Arrows
1,4392,617

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, 1439, 2617

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 1,439 x 2,617 = 60,253,808

This can also be written as 24 x 1,4391 x 2,6171 = 60,253,808

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


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