Q: What are the prime factors of the number 73,120,536?

 A: 2, 3, 17, 19913

Why are those the prime factors of the number 73,120,536?

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 73,120,536

73,120,536
Factor Arrows
236,560,268
Factor Arrows
218,280,134
Factor Arrows
29,140,067
Factor Arrows
33,046,689
Factor Arrows
31,015,563
Factor Arrows
3338,521
Factor Arrows
1719,913

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, 17, 19913

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 17 x 19,913 = 73,120,536

This can also be written as 23 x 33 x 171 x 19,9131 = 73,120,536

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


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