Q: What are the prime factors of the number 24,003,308?

 A: 2, 7, 19, 45119

Why are those the prime factors of the number 24,003,308?

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 24,003,308

24,003,308
Factor Arrows
212,001,654
Factor Arrows
26,000,827
Factor Arrows
7857,261
Factor Arrows
1945,119

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, 7, 19, 45119

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 19 x 45,119 = 24,003,308

This can also be written as 22 x 71 x 191 x 45,1191 = 24,003,308

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


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