Q: What are the prime factors of the number 24,728,240?

 A: 2, 5, 103, 3001

Why are those the prime factors of the number 24,728,240?

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 24,728,240

24,728,240
Factor Arrows
212,364,120
Factor Arrows
26,182,060
Factor Arrows
23,091,030
Factor Arrows
21,545,515
Factor Arrows
5309,103
Factor Arrows
1033,001

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, 5, 103, 3001

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 103 x 3,001 = 24,728,240

This can also be written as 24 x 51 x 1031 x 3,0011 = 24,728,240

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


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