Q: What are the prime factors of the number 340,356,304?

 A: 2, 21272269

Why are those the prime factors of the number 340,356,304?

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 340,356,304

340,356,304
Factor Arrows
2170,178,152
Factor Arrows
285,089,076
Factor Arrows
242,544,538
Factor Arrows
221,272,269

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, 21272269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 21,272,269 = 340,356,304

This can also be written as 24 x 21,272,2691 = 340,356,304

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


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