Q: What are the prime factors of the number 230,334,342?

 A: 2, 3, 7, 67, 81853

Why are those the prime factors of the number 230,334,342?

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 230,334,342

230,334,342
Factor Arrows
2115,167,171
Factor Arrows
338,389,057
Factor Arrows
75,484,151
Factor Arrows
6781,853

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, 67, 81853

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 67 x 81,853 = 230,334,342

This can also be written as 21 x 31 x 71 x 671 x 81,8531 = 230,334,342

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


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