Q: What are the prime factors of the number 24,666,208?

 A: 2, 7, 15731

Why are those the prime factors of the number 24,666,208?

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 24,666,208

24,666,208
Factor Arrows
212,333,104
Factor Arrows
26,166,552
Factor Arrows
23,083,276
Factor Arrows
21,541,638
Factor Arrows
2770,819
Factor Arrows
7110,117
Factor Arrows
715,731

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, 15731

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 7 x 15,731 = 24,666,208

This can also be written as 25 x 72 x 15,7311 = 24,666,208

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


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