Q: What are the prime factors of the number 31,335,480?

 A: 2, 3, 5, 11, 41, 193

Why are those the prime factors of the number 31,335,480?

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 31,335,480

31,335,480
Factor Arrows
215,667,740
Factor Arrows
27,833,870
Factor Arrows
23,916,935
Factor Arrows
31,305,645
Factor Arrows
3435,215
Factor Arrows
587,043
Factor Arrows
117,913
Factor Arrows
41193

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, 11, 41, 193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 11 x 41 x 193 = 31,335,480

This can also be written as 23 x 32 x 51 x 111 x 411 x 1931 = 31,335,480

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


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