Q: What are the prime factors of the number 55,551,904?

 A: 2, 1735997

Why are those the prime factors of the number 55,551,904?

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 55,551,904

55,551,904
Factor Arrows
227,775,952
Factor Arrows
213,887,976
Factor Arrows
26,943,988
Factor Arrows
23,471,994
Factor Arrows
21,735,997

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, 1735997

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 1,735,997 = 55,551,904

This can also be written as 25 x 1,735,9971 = 55,551,904

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


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