Q: What are the prime factors of the number 237,570,606?

 A: 2, 3, 7, 13, 145037

Why are those the prime factors of the number 237,570,606?

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 237,570,606

237,570,606
Factor Arrows
2118,785,303
Factor Arrows
339,595,101
Factor Arrows
313,198,367
Factor Arrows
71,885,481
Factor Arrows
13145,037

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, 7, 13, 145037

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 13 x 145,037 = 237,570,606

This can also be written as 21 x 32 x 71 x 131 x 145,0371 = 237,570,606

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


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