Q: What are the prime factors of the number 346,026,615?

 A: 3, 5, 11, 2097131

Why are those the prime factors of the number 346,026,615?

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 346,026,615

346,026,615
Factor Arrows
3115,342,205
Factor Arrows
523,068,441
Factor Arrows
112,097,131

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:

3, 5, 11, 2097131

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 2,097,131 = 346,026,615

This can also be written as 31 x 51 x 111 x 2,097,1311 = 346,026,615

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


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