Q: What are the prime factors of the number 120,736,500?

 A: 2, 3, 5, 80491

Why are those the prime factors of the number 120,736,500?

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 120,736,500

120,736,500
Factor Arrows
260,368,250
Factor Arrows
230,184,125
Factor Arrows
310,061,375
Factor Arrows
52,012,275
Factor Arrows
5402,455
Factor Arrows
580,491

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, 80491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 80,491 = 120,736,500

This can also be written as 22 x 31 x 53 x 80,4911 = 120,736,500

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


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