Q: What are the prime factors of the number 72,435,120?

 A: 2, 3, 5, 301813

Why are those the prime factors of the number 72,435,120?

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 72,435,120

72,435,120
Factor Arrows
236,217,560
Factor Arrows
218,108,780
Factor Arrows
29,054,390
Factor Arrows
24,527,195
Factor Arrows
31,509,065
Factor Arrows
5301,813

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, 301813

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 301,813 = 72,435,120

This can also be written as 24 x 31 x 51 x 301,8131 = 72,435,120

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


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