Q: What are the prime factors of the number 237,481,680?

 A: 2, 3, 5, 989507

Why are those the prime factors of the number 237,481,680?

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 237,481,680

237,481,680
Factor Arrows
2118,740,840
Factor Arrows
259,370,420
Factor Arrows
229,685,210
Factor Arrows
214,842,605
Factor Arrows
34,947,535
Factor Arrows
5989,507

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, 989507

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 989,507 = 237,481,680

This can also be written as 24 x 31 x 51 x 989,5071 = 237,481,680

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


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