Q: What are the prime factors of the number 62,062,500?

 A: 2, 3, 5, 331

Why are those the prime factors of the number 62,062,500?

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 62,062,500

62,062,500
Factor Arrows
231,031,250
Factor Arrows
215,515,625
Factor Arrows
35,171,875
Factor Arrows
51,034,375
Factor Arrows
5206,875
Factor Arrows
541,375
Factor Arrows
58,275
Factor Arrows
51,655
Factor Arrows
5331

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, 331

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5 x 5 x 331 = 62,062,500

This can also be written as 22 x 31 x 56 x 3311 = 62,062,500

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


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