Q: What are the prime factors of the number 24,029,061?

 A: 3, 7, 31, 5273

Why are those the prime factors of the number 24,029,061?

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 24,029,061

24,029,061
Factor Arrows
38,009,687
Factor Arrows
71,144,241
Factor Arrows
7163,463
Factor Arrows
315,273

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:

3, 7, 31, 5273

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 31 x 5,273 = 24,029,061

This can also be written as 31 x 72 x 311 x 5,2731 = 24,029,061

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


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