Q: What are the prime factors of the number 231,573,056?

 A: 2, 11, 13, 25303

Why are those the prime factors of the number 231,573,056?

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 231,573,056

231,573,056
Factor Arrows
2115,786,528
Factor Arrows
257,893,264
Factor Arrows
228,946,632
Factor Arrows
214,473,316
Factor Arrows
27,236,658
Factor Arrows
23,618,329
Factor Arrows
11328,939
Factor Arrows
1325,303

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, 11, 13, 25303

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 11 x 13 x 25,303 = 231,573,056

This can also be written as 26 x 111 x 131 x 25,3031 = 231,573,056

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


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