Q: What are the prime factors of the number 233,516,570?

 A: 2, 5, 7, 3335951

Why are those the prime factors of the number 233,516,570?

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 233,516,570

233,516,570
Factor Arrows
2116,758,285
Factor Arrows
523,351,657
Factor Arrows
73,335,951

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, 5, 7, 3335951

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 3,335,951 = 233,516,570

This can also be written as 21 x 51 x 71 x 3,335,9511 = 233,516,570

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


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