Q: What are the prime factors of the number 118,814,280?

 A: 2, 3, 5, 13, 76163

Why are those the prime factors of the number 118,814,280?

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 118,814,280

118,814,280
Factor Arrows
259,407,140
Factor Arrows
229,703,570
Factor Arrows
214,851,785
Factor Arrows
34,950,595
Factor Arrows
5990,119
Factor Arrows
1376,163

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, 5, 13, 76163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 13 x 76,163 = 118,814,280

This can also be written as 23 x 31 x 51 x 131 x 76,1631 = 118,814,280

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


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