Q: What are the prime factors of the number 230,573,448?

 A: 2, 3, 7, 17, 1583

Why are those the prime factors of the number 230,573,448?

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 230,573,448

230,573,448
Factor Arrows
2115,286,724
Factor Arrows
257,643,362
Factor Arrows
228,821,681
Factor Arrows
39,607,227
Factor Arrows
33,202,409
Factor Arrows
7457,487
Factor Arrows
1726,911
Factor Arrows
171,583

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, 17, 1583

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 7 x 17 x 17 x 1,583 = 230,573,448

This can also be written as 23 x 32 x 71 x 172 x 1,5831 = 230,573,448

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


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