Q: What are the prime factors of the number 24,502,000?

 A: 2, 5, 12251

Why are those the prime factors of the number 24,502,000?

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 24,502,000

24,502,000
Factor Arrows
212,251,000
Factor Arrows
26,125,500
Factor Arrows
23,062,750
Factor Arrows
21,531,375
Factor Arrows
5306,275
Factor Arrows
561,255
Factor Arrows
512,251

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, 12251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 5 x 12,251 = 24,502,000

This can also be written as 24 x 53 x 12,2511 = 24,502,000

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


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