Q: What are the prime factors of the number 24,439,480?

 A: 2, 5, 13, 43, 1093

Why are those the prime factors of the number 24,439,480?

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 24,439,480

24,439,480
Factor Arrows
212,219,740
Factor Arrows
26,109,870
Factor Arrows
23,054,935
Factor Arrows
5610,987
Factor Arrows
1346,999
Factor Arrows
431,093

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, 13, 43, 1093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 13 x 43 x 1,093 = 24,439,480

This can also be written as 23 x 51 x 131 x 431 x 1,0931 = 24,439,480

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


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