Q: What are the prime factors of the number 73,438,172?

 A: 2, 23, 89, 8969

Why are those the prime factors of the number 73,438,172?

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 73,438,172

73,438,172
Factor Arrows
236,719,086
Factor Arrows
218,359,543
Factor Arrows
23798,241
Factor Arrows
898,969

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, 23, 89, 8969

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 89 x 8,969 = 73,438,172

This can also be written as 22 x 231 x 891 x 8,9691 = 73,438,172

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


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