Q: What are the prime factors of the number 62,652,750?

 A: 2, 3, 5, 83537

Why are those the prime factors of the number 62,652,750?

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 62,652,750

62,652,750
Factor Arrows
231,326,375
Factor Arrows
310,442,125
Factor Arrows
52,088,425
Factor Arrows
5417,685
Factor Arrows
583,537

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, 3, 5, 83537

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 5 x 83,537 = 62,652,750

This can also be written as 21 x 31 x 53 x 83,5371 = 62,652,750

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


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