Q: What are the prime factors of the number 24,323,085?

 A: 3, 5, 6673

Why are those the prime factors of the number 24,323,085?

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 24,323,085

24,323,085
Factor Arrows
38,107,695
Factor Arrows
32,702,565
Factor Arrows
3900,855
Factor Arrows
3300,285
Factor Arrows
3100,095
Factor Arrows
333,365
Factor Arrows
56,673

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, 6673

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 6,673 = 24,323,085

This can also be written as 36 x 51 x 6,6731 = 24,323,085

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


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