Q: What are the prime factors of the number 62,623,905?

 A: 3, 5, 19, 29, 7577

Why are those the prime factors of the number 62,623,905?

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 62,623,905

62,623,905
Factor Arrows
320,874,635
Factor Arrows
54,174,927
Factor Arrows
19219,733
Factor Arrows
297,577

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:

3, 5, 19, 29, 7577

We can check our work by multiplying all of the prime factors together: 3 x 5 x 19 x 29 x 7,577 = 62,623,905

This can also be written as 31 x 51 x 191 x 291 x 7,5771 = 62,623,905

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


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