Q: What are the prime factors of the number 232,026,248?

 A: 2, 317, 91493

Why are those the prime factors of the number 232,026,248?

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 232,026,248

232,026,248
Factor Arrows
2116,013,124
Factor Arrows
258,006,562
Factor Arrows
229,003,281
Factor Arrows
31791,493

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, 317, 91493

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 317 x 91,493 = 232,026,248

This can also be written as 23 x 3171 x 91,4931 = 232,026,248

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


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