Q: What are the prime factors of the number 15,692,940?

 A: 2, 3, 5, 3229

Why are those the prime factors of the number 15,692,940?

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 15,692,940

15,692,940
Factor Arrows
27,846,470
Factor Arrows
23,923,235
Factor Arrows
31,307,745
Factor Arrows
3435,915
Factor Arrows
3145,305
Factor Arrows
348,435
Factor Arrows
316,145
Factor Arrows
53,229

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, 3, 5, 3229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 3,229 = 15,692,940

This can also be written as 22 x 35 x 51 x 3,2291 = 15,692,940

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


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