Q: What are the prime factors of the number 24,987,424?

 A: 2, 7, 11, 10141

Why are those the prime factors of the number 24,987,424?

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 24,987,424

24,987,424
Factor Arrows
212,493,712
Factor Arrows
26,246,856
Factor Arrows
23,123,428
Factor Arrows
21,561,714
Factor Arrows
2780,857
Factor Arrows
7111,551
Factor Arrows
1110,141

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, 11, 10141

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 11 x 10,141 = 24,987,424

This can also be written as 25 x 71 x 111 x 10,1411 = 24,987,424

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


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