Q: What are the prime factors of the number 104,358,892?

 A: 2, 11, 431, 5503

Why are those the prime factors of the number 104,358,892?

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 104,358,892

104,358,892
Factor Arrows
252,179,446
Factor Arrows
226,089,723
Factor Arrows
112,371,793
Factor Arrows
4315,503

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, 11, 431, 5503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 431 x 5,503 = 104,358,892

This can also be written as 22 x 111 x 4311 x 5,5031 = 104,358,892

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


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