Q: What are the prime factors of the number 2,323,368?

 A: 2, 3, 23, 61

Why are those the prime factors of the number 2,323,368?

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 2,323,368

2,323,368
Factor Arrows
21,161,684
Factor Arrows
2580,842
Factor Arrows
2290,421
Factor Arrows
396,807
Factor Arrows
332,269
Factor Arrows
231,403
Factor Arrows
2361

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, 23, 61

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 23 x 23 x 61 = 2,323,368

This can also be written as 23 x 32 x 232 x 611 = 2,323,368

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


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