Q: What are the prime factors of the number 24,126,050?

 A: 2, 5, 13, 37117

Why are those the prime factors of the number 24,126,050?

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 24,126,050

24,126,050
Factor Arrows
212,063,025
Factor Arrows
52,412,605
Factor Arrows
5482,521
Factor Arrows
1337,117

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, 37117

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 13 x 37,117 = 24,126,050

This can also be written as 21 x 52 x 131 x 37,1171 = 24,126,050

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


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