Q: What are the prime factors of the number 334,211,436?

 A: 2, 3, 13, 23, 61, 509

Why are those the prime factors of the number 334,211,436?

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 334,211,436

334,211,436
Factor Arrows
2167,105,718
Factor Arrows
283,552,859
Factor Arrows
327,850,953
Factor Arrows
39,283,651
Factor Arrows
13714,127
Factor Arrows
2331,049
Factor Arrows
61509

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, 23, 61, 509

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13 x 23 x 61 x 509 = 334,211,436

This can also be written as 22 x 32 x 131 x 231 x 611 x 5091 = 334,211,436

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


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