Q: What are the prime factors of the number 340,233,340?

 A: 2, 5, 17011667

Why are those the prime factors of the number 340,233,340?

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 340,233,340

340,233,340
Factor Arrows
2170,116,670
Factor Arrows
285,058,335
Factor Arrows
517,011,667

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, 5, 17011667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 17,011,667 = 340,233,340

This can also be written as 22 x 51 x 17,011,6671 = 340,233,340

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


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