Q: What are the prime factors of the number 108,575,856?

 A: 2, 3, 127, 1979

Why are those the prime factors of the number 108,575,856?

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 108,575,856

108,575,856
Factor Arrows
254,287,928
Factor Arrows
227,143,964
Factor Arrows
213,571,982
Factor Arrows
26,785,991
Factor Arrows
32,261,997
Factor Arrows
3753,999
Factor Arrows
3251,333
Factor Arrows
1271,979

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, 3, 127, 1979

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 127 x 1,979 = 108,575,856

This can also be written as 24 x 33 x 1271 x 1,9791 = 108,575,856

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


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