Q: What are the prime factors of the number 235,178,334?

 A: 2, 3, 13065463

Why are those the prime factors of the number 235,178,334?

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 235,178,334

235,178,334
Factor Arrows
2117,589,167
Factor Arrows
339,196,389
Factor Arrows
313,065,463

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, 13065463

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13,065,463 = 235,178,334

This can also be written as 21 x 32 x 13,065,4631 = 235,178,334

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


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