Q: What are the prime factors of the number 118,880,500?

 A: 2, 5, 73, 3257

Why are those the prime factors of the number 118,880,500?

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 118,880,500

118,880,500
Factor Arrows
259,440,250
Factor Arrows
229,720,125
Factor Arrows
55,944,025
Factor Arrows
51,188,805
Factor Arrows
5237,761
Factor Arrows
733,257

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, 73, 3257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 73 x 3,257 = 118,880,500

This can also be written as 22 x 53 x 731 x 3,2571 = 118,880,500

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


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