Q: What are the prime factors of the number 24,420,132?

 A: 2, 3, 11, 61667

Why are those the prime factors of the number 24,420,132?

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 24,420,132

24,420,132
Factor Arrows
212,210,066
Factor Arrows
26,105,033
Factor Arrows
32,035,011
Factor Arrows
3678,337
Factor Arrows
1161,667

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, 11, 61667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 61,667 = 24,420,132

This can also be written as 22 x 32 x 111 x 61,6671 = 24,420,132

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


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