Q: What are the prime factors of the number 104,047,572?

 A: 2, 3, 19, 456349

Why are those the prime factors of the number 104,047,572?

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 104,047,572

104,047,572
Factor Arrows
252,023,786
Factor Arrows
226,011,893
Factor Arrows
38,670,631
Factor Arrows
19456,349

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, 19, 456349

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 456,349 = 104,047,572

This can also be written as 22 x 31 x 191 x 456,3491 = 104,047,572

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


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