Q: What are the prime factors of the number 62,573,472?

 A: 2, 3, 13, 619

Why are those the prime factors of the number 62,573,472?

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 62,573,472

62,573,472
Factor Arrows
231,286,736
Factor Arrows
215,643,368
Factor Arrows
27,821,684
Factor Arrows
23,910,842
Factor Arrows
21,955,421
Factor Arrows
3651,807
Factor Arrows
3217,269
Factor Arrows
372,423
Factor Arrows
324,141
Factor Arrows
38,047
Factor Arrows
13619

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, 13, 619

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 13 x 619 = 62,573,472

This can also be written as 25 x 35 x 131 x 6191 = 62,573,472

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


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