Q: What are the prime factors of the number 61,555,060?

 A: 2, 5, 7, 19, 73, 317

Why are those the prime factors of the number 61,555,060?

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 61,555,060

61,555,060
Factor Arrows
230,777,530
Factor Arrows
215,388,765
Factor Arrows
53,077,753
Factor Arrows
7439,679
Factor Arrows
1923,141
Factor Arrows
73317

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, 7, 19, 73, 317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 19 x 73 x 317 = 61,555,060

This can also be written as 22 x 51 x 71 x 191 x 731 x 3171 = 61,555,060

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


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