Q: What are the prime factors of the number 24,421,232?

 A: 2, 11, 19, 67, 109

Why are those the prime factors of the number 24,421,232?

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 24,421,232

24,421,232
Factor Arrows
212,210,616
Factor Arrows
26,105,308
Factor Arrows
23,052,654
Factor Arrows
21,526,327
Factor Arrows
11138,757
Factor Arrows
197,303
Factor Arrows
67109

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, 11, 19, 67, 109

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 19 x 67 x 109 = 24,421,232

This can also be written as 24 x 111 x 191 x 671 x 1091 = 24,421,232

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


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