Q: What are the prime factors of the number 104,388,936?

 A: 2, 3, 59, 73721

Why are those the prime factors of the number 104,388,936?

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 104,388,936

104,388,936
Factor Arrows
252,194,468
Factor Arrows
226,097,234
Factor Arrows
213,048,617
Factor Arrows
34,349,539
Factor Arrows
5973,721

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, 59, 73721

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 59 x 73,721 = 104,388,936

This can also be written as 23 x 31 x 591 x 73,7211 = 104,388,936

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


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