Q: What are the prime factors of the number 24,142,644?

 A: 2, 3, 223543

Why are those the prime factors of the number 24,142,644?

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 24,142,644

24,142,644
Factor Arrows
212,071,322
Factor Arrows
26,035,661
Factor Arrows
32,011,887
Factor Arrows
3670,629
Factor Arrows
3223,543

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, 223543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 223,543 = 24,142,644

This can also be written as 22 x 33 x 223,5431 = 24,142,644

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


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