Q: What are the prime factors of the number 334,453,236?

 A: 2, 3, 13, 41, 52291

Why are those the prime factors of the number 334,453,236?

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 334,453,236

334,453,236
Factor Arrows
2167,226,618
Factor Arrows
283,613,309
Factor Arrows
327,871,103
Factor Arrows
132,143,931
Factor Arrows
4152,291

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, 13, 41, 52291

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 41 x 52,291 = 334,453,236

This can also be written as 22 x 31 x 131 x 411 x 52,2911 = 334,453,236

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


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