Q: What are the prime factors of the number 24,136,812?

 A: 2, 3, 7, 4561

Why are those the prime factors of the number 24,136,812?

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 24,136,812

24,136,812
Factor Arrows
212,068,406
Factor Arrows
26,034,203
Factor Arrows
32,011,401
Factor Arrows
3670,467
Factor Arrows
3223,489
Factor Arrows
731,927
Factor Arrows
74,561

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, 4561

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 7 x 4,561 = 24,136,812

This can also be written as 22 x 33 x 72 x 4,5611 = 24,136,812

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


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