Q: What are the prime factors of the number 104,055,440?

 A: 2, 5, 83, 15671

Why are those the prime factors of the number 104,055,440?

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 104,055,440

104,055,440
Factor Arrows
252,027,720
Factor Arrows
226,013,860
Factor Arrows
213,006,930
Factor Arrows
26,503,465
Factor Arrows
51,300,693
Factor Arrows
8315,671

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, 5, 83, 15671

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 83 x 15,671 = 104,055,440

This can also be written as 24 x 51 x 831 x 15,6711 = 104,055,440

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


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