Q: What are the prime factors of the number 24,320,056?

 A: 2, 47, 71, 911

Why are those the prime factors of the number 24,320,056?

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 24,320,056

24,320,056
Factor Arrows
212,160,028
Factor Arrows
26,080,014
Factor Arrows
23,040,007
Factor Arrows
4764,681
Factor Arrows
71911

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, 47, 71, 911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 47 x 71 x 911 = 24,320,056

This can also be written as 23 x 471 x 711 x 9111 = 24,320,056

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


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