Q: What are the prime factors of the number 340,111,000?

 A: 2, 5, 340111

Why are those the prime factors of the number 340,111,000?

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 340,111,000

340,111,000
Factor Arrows
2170,055,500
Factor Arrows
285,027,750
Factor Arrows
242,513,875
Factor Arrows
58,502,775
Factor Arrows
51,700,555
Factor Arrows
5340,111

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, 340111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 5 x 340,111 = 340,111,000

This can also be written as 23 x 53 x 340,1111 = 340,111,000

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


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