Q: What are the prime factors of the number 62,005,552?

 A: 2, 7, 67, 8263

Why are those the prime factors of the number 62,005,552?

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 62,005,552

62,005,552
Factor Arrows
231,002,776
Factor Arrows
215,501,388
Factor Arrows
27,750,694
Factor Arrows
23,875,347
Factor Arrows
7553,621
Factor Arrows
678,263

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, 67, 8263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 67 x 8,263 = 62,005,552

This can also be written as 24 x 71 x 671 x 8,2631 = 62,005,552

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


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