Q: What are the prime factors of the number 237,145,056?

 A: 2, 3, 2470261

Why are those the prime factors of the number 237,145,056?

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 237,145,056

237,145,056
Factor Arrows
2118,572,528
Factor Arrows
259,286,264
Factor Arrows
229,643,132
Factor Arrows
214,821,566
Factor Arrows
27,410,783
Factor Arrows
32,470,261

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, 2470261

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 2,470,261 = 237,145,056

This can also be written as 25 x 31 x 2,470,2611 = 237,145,056

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


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