Q: What are the prime factors of the number 340,522,552?

 A: 2, 3109, 13691

Why are those the prime factors of the number 340,522,552?

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 340,522,552

340,522,552
Factor Arrows
2170,261,276
Factor Arrows
285,130,638
Factor Arrows
242,565,319
Factor Arrows
3,10913,691

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, 3109, 13691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3,109 x 13,691 = 340,522,552

This can also be written as 23 x 3,1091 x 13,6911 = 340,522,552

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


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