Q: What are the prime factors of the number 62,533,688?

 A: 2, 7, 23, 47, 1033

Why are those the prime factors of the number 62,533,688?

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 62,533,688

62,533,688
Factor Arrows
231,266,844
Factor Arrows
215,633,422
Factor Arrows
27,816,711
Factor Arrows
71,116,673
Factor Arrows
2348,551
Factor Arrows
471,033

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, 7, 23, 47, 1033

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 23 x 47 x 1,033 = 62,533,688

This can also be written as 23 x 71 x 231 x 471 x 1,0331 = 62,533,688

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


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