Q: What are the prime factors of the number 345,709,120?

 A: 2, 5, 1080341

Why are those the prime factors of the number 345,709,120?

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 345,709,120

345,709,120
Factor Arrows
2172,854,560
Factor Arrows
286,427,280
Factor Arrows
243,213,640
Factor Arrows
221,606,820
Factor Arrows
210,803,410
Factor Arrows
25,401,705
Factor Arrows
51,080,341

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, 1080341

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 1,080,341 = 345,709,120

This can also be written as 26 x 51 x 1,080,3411 = 345,709,120

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


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