Q: What are the prime factors of the number 24,035,535?

 A: 3, 5, 17, 3491

Why are those the prime factors of the number 24,035,535?

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 24,035,535

24,035,535
Factor Arrows
38,011,845
Factor Arrows
32,670,615
Factor Arrows
3890,205
Factor Arrows
3296,735
Factor Arrows
559,347
Factor Arrows
173,491

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, 5, 17, 3491

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 17 x 3,491 = 24,035,535

This can also be written as 34 x 51 x 171 x 3,4911 = 24,035,535

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


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