Q: What are the prime factors of the number 9,803,970?

 A: 2, 3, 5, 11, 3301

Why are those the prime factors of the number 9,803,970?

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 9,803,970

9,803,970
Factor Arrows
24,901,985
Factor Arrows
31,633,995
Factor Arrows
3544,665
Factor Arrows
3181,555
Factor Arrows
536,311
Factor Arrows
113,301

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, 3301

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 11 x 3,301 = 9,803,970

This can also be written as 21 x 33 x 51 x 111 x 3,3011 = 9,803,970

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


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