Q: What are the prime factors of the number 62,033,472?

 A: 2, 3, 35899

Why are those the prime factors of the number 62,033,472?

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 62,033,472

62,033,472
Factor Arrows
231,016,736
Factor Arrows
215,508,368
Factor Arrows
27,754,184
Factor Arrows
23,877,092
Factor Arrows
21,938,546
Factor Arrows
2969,273
Factor Arrows
3323,091
Factor Arrows
3107,697
Factor Arrows
335,899

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, 35899

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 35,899 = 62,033,472

This can also be written as 26 x 33 x 35,8991 = 62,033,472

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


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