Q: What are the prime factors of the number 345,306?

 A: 2, 3, 13, 19, 233

Why are those the prime factors of the number 345,306?

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 345,306

345,306
Factor Arrows
2172,653
Factor Arrows
357,551
Factor Arrows
134,427
Factor Arrows
19233

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, 3, 13, 19, 233

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 19 x 233 = 345,306

This can also be written as 21 x 31 x 131 x 191 x 2331 = 345,306

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


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