Q: What are the prime factors of the number 739,908?

 A: 2, 3, 13, 17, 31

Why are those the prime factors of the number 739,908?

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 739,908

739,908
Factor Arrows
2369,954
Factor Arrows
2184,977
Factor Arrows
361,659
Factor Arrows
320,553
Factor Arrows
36,851
Factor Arrows
13527
Factor Arrows
1731

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, 13, 17, 31

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 13 x 17 x 31 = 739,908

This can also be written as 22 x 33 x 131 x 171 x 311 = 739,908

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


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