Q: What are the prime factors of the number 24,615,738?

 A: 2, 3, 7, 443

Why are those the prime factors of the number 24,615,738?

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 24,615,738

24,615,738
Factor Arrows
212,307,869
Factor Arrows
34,102,623
Factor Arrows
31,367,541
Factor Arrows
3455,847
Factor Arrows
3151,949
Factor Arrows
721,707
Factor Arrows
73,101
Factor Arrows
7443

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, 7, 443

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 7 x 7 x 7 x 443 = 24,615,738

This can also be written as 21 x 34 x 73 x 4431 = 24,615,738

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


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