Q: What are the prime factors of the number 104,055,438?

 A: 2, 3, 19, 227, 4021

Why are those the prime factors of the number 104,055,438?

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 104,055,438

104,055,438
Factor Arrows
252,027,719
Factor Arrows
317,342,573
Factor Arrows
19912,767
Factor Arrows
2274,021

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, 227, 4021

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 227 x 4,021 = 104,055,438

This can also be written as 21 x 31 x 191 x 2271 x 4,0211 = 104,055,438

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


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