Q: What are the prime factors of the number 334,016,236?

 A: 2, 61, 83, 16493

Why are those the prime factors of the number 334,016,236?

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 334,016,236

334,016,236
Factor Arrows
2167,008,118
Factor Arrows
283,504,059
Factor Arrows
611,368,919
Factor Arrows
8316,493

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, 61, 83, 16493

We can check our work by multiplying all of the prime factors together: 2 x 2 x 61 x 83 x 16,493 = 334,016,236

This can also be written as 22 x 611 x 831 x 16,4931 = 334,016,236

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


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