Q: What are the prime factors of the number 24,223,488?

 A: 2, 3, 31541

Why are those the prime factors of the number 24,223,488?

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 24,223,488

24,223,488
Factor Arrows
212,111,744
Factor Arrows
26,055,872
Factor Arrows
23,027,936
Factor Arrows
21,513,968
Factor Arrows
2756,984
Factor Arrows
2378,492
Factor Arrows
2189,246
Factor Arrows
294,623
Factor Arrows
331,541

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, 3, 31541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31,541 = 24,223,488

This can also be written as 28 x 31 x 31,5411 = 24,223,488

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


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