Q: What are the prime factors of the number 24,014,445?

 A: 3, 5, 7, 13, 73, 241

Why are those the prime factors of the number 24,014,445?

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 24,014,445

24,014,445
Factor Arrows
38,004,815
Factor Arrows
51,600,963
Factor Arrows
7228,709
Factor Arrows
1317,593
Factor Arrows
73241

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, 7, 13, 73, 241

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 13 x 73 x 241 = 24,014,445

This can also be written as 31 x 51 x 71 x 131 x 731 x 2411 = 24,014,445

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


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