Q: What are the prime factors of the number 61,055,440?

 A: 2, 5, 29, 26317

Why are those the prime factors of the number 61,055,440?

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 61,055,440

61,055,440
Factor Arrows
230,527,720
Factor Arrows
215,263,860
Factor Arrows
27,631,930
Factor Arrows
23,815,965
Factor Arrows
5763,193
Factor Arrows
2926,317

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, 29, 26317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 29 x 26,317 = 61,055,440

This can also be written as 24 x 51 x 291 x 26,3171 = 61,055,440

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


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