Q: What are the prime factors of the number 14,435,650?

 A: 2, 5, 61, 4733

Why are those the prime factors of the number 14,435,650?

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 14,435,650

14,435,650
Factor Arrows
27,217,825
Factor Arrows
51,443,565
Factor Arrows
5288,713
Factor Arrows
614,733

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, 61, 4733

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 61 x 4,733 = 14,435,650

This can also be written as 21 x 52 x 611 x 4,7331 = 14,435,650

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


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