Q: What are the prime factors of the number 2,326,335?

 A: 3, 5, 11, 23, 613

Why are those the prime factors of the number 2,326,335?

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 2,326,335

2,326,335
Factor Arrows
3775,445
Factor Arrows
5155,089
Factor Arrows
1114,099
Factor Arrows
23613

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, 23, 613

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 23 x 613 = 2,326,335

This can also be written as 31 x 51 x 111 x 231 x 6131 = 2,326,335

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


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