Q: What are the prime factors of the number 340,246,422?

 A: 2, 3, 179, 105601

Why are those the prime factors of the number 340,246,422?

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 340,246,422

340,246,422
Factor Arrows
2170,123,211
Factor Arrows
356,707,737
Factor Arrows
318,902,579
Factor Arrows
179105,601

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, 179, 105601

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 179 x 105,601 = 340,246,422

This can also be written as 21 x 32 x 1791 x 105,6011 = 340,246,422

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


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