Q: What are the prime factors of the number 340,244,768?

 A: 2, 10632649

Why are those the prime factors of the number 340,244,768?

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 340,244,768

340,244,768
Factor Arrows
2170,122,384
Factor Arrows
285,061,192
Factor Arrows
242,530,596
Factor Arrows
221,265,298
Factor Arrows
210,632,649

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, 10632649

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 10,632,649 = 340,244,768

This can also be written as 25 x 10,632,6491 = 340,244,768

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


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