Q: What are the prime factors of the number 60,515,824?

 A: 2, 53, 71363

Why are those the prime factors of the number 60,515,824?

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 60,515,824

60,515,824
Factor Arrows
230,257,912
Factor Arrows
215,128,956
Factor Arrows
27,564,478
Factor Arrows
23,782,239
Factor Arrows
5371,363

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, 53, 71363

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 53 x 71,363 = 60,515,824

This can also be written as 24 x 531 x 71,3631 = 60,515,824

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


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