Q: What are the prime factors of the number 343,635,678?

 A: 2, 3, 41, 465631

Why are those the prime factors of the number 343,635,678?

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 343,635,678

343,635,678
Factor Arrows
2171,817,839
Factor Arrows
357,272,613
Factor Arrows
319,090,871
Factor Arrows
41465,631

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, 41, 465631

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 41 x 465,631 = 343,635,678

This can also be written as 21 x 32 x 411 x 465,6311 = 343,635,678

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


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