Q: What are the prime factors of the number 55,910,080?

 A: 2, 5, 379, 461

Why are those the prime factors of the number 55,910,080?

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 55,910,080

55,910,080
Factor Arrows
227,955,040
Factor Arrows
213,977,520
Factor Arrows
26,988,760
Factor Arrows
23,494,380
Factor Arrows
21,747,190
Factor Arrows
2873,595
Factor Arrows
5174,719
Factor Arrows
379461

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, 379, 461

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 379 x 461 = 55,910,080

This can also be written as 26 x 51 x 3791 x 4611 = 55,910,080

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


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