Q: What are the prime factors of the number 58,100,856?

 A: 2, 3, 11, 101, 2179

Why are those the prime factors of the number 58,100,856?

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 58,100,856

58,100,856
Factor Arrows
229,050,428
Factor Arrows
214,525,214
Factor Arrows
27,262,607
Factor Arrows
32,420,869
Factor Arrows
11220,079
Factor Arrows
1012,179

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, 11, 101, 2179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 11 x 101 x 2,179 = 58,100,856

This can also be written as 23 x 31 x 111 x 1011 x 2,1791 = 58,100,856

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


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