Q: What are the prime factors of the number 118,426,250?

 A: 2, 5, 17, 5573

Why are those the prime factors of the number 118,426,250?

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 118,426,250

118,426,250
Factor Arrows
259,213,125
Factor Arrows
511,842,625
Factor Arrows
52,368,525
Factor Arrows
5473,705
Factor Arrows
594,741
Factor Arrows
175,573

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, 17, 5573

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 5 x 17 x 5,573 = 118,426,250

This can also be written as 21 x 54 x 171 x 5,5731 = 118,426,250

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


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