Q: What are the prime factors of the number 75,385,872?

 A: 2, 3, 37, 14149

Why are those the prime factors of the number 75,385,872?

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 75,385,872

75,385,872
Factor Arrows
237,692,936
Factor Arrows
218,846,468
Factor Arrows
29,423,234
Factor Arrows
24,711,617
Factor Arrows
31,570,539
Factor Arrows
3523,513
Factor Arrows
3714,149

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, 37, 14149

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 37 x 14,149 = 75,385,872

This can also be written as 24 x 32 x 371 x 14,1491 = 75,385,872

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


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