Q: What are the prime factors of the number 14,430,429?

 A: 3, 13, 29, 4253

Why are those the prime factors of the number 14,430,429?

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 14,430,429

14,430,429
Factor Arrows
34,810,143
Factor Arrows
31,603,381
Factor Arrows
13123,337
Factor Arrows
294,253

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, 13, 29, 4253

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 29 x 4,253 = 14,430,429

This can also be written as 32 x 131 x 291 x 4,2531 = 14,430,429

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


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