Q: What are the prime factors of the number 104,444,214?

 A: 2, 3, 7, 2486767

Why are those the prime factors of the number 104,444,214?

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 104,444,214

104,444,214
Factor Arrows
252,222,107
Factor Arrows
317,407,369
Factor Arrows
72,486,767

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, 7, 2486767

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 2,486,767 = 104,444,214

This can also be written as 21 x 31 x 71 x 2,486,7671 = 104,444,214

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


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