Q: What are the prime factors of the number 104,550,876?

 A: 2, 3, 811, 3581

Why are those the prime factors of the number 104,550,876?

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 104,550,876

104,550,876
Factor Arrows
252,275,438
Factor Arrows
226,137,719
Factor Arrows
38,712,573
Factor Arrows
32,904,191
Factor Arrows
8113,581

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, 811, 3581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 811 x 3,581 = 104,550,876

This can also be written as 22 x 32 x 8111 x 3,5811 = 104,550,876

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


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