Q: What are the prime factors of the number 75,632,544?

 A: 2, 3, 13, 20201

Why are those the prime factors of the number 75,632,544?

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 75,632,544

75,632,544
Factor Arrows
237,816,272
Factor Arrows
218,908,136
Factor Arrows
29,454,068
Factor Arrows
24,727,034
Factor Arrows
22,363,517
Factor Arrows
3787,839
Factor Arrows
3262,613
Factor Arrows
1320,201

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, 13, 20201

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 20,201 = 75,632,544

This can also be written as 25 x 32 x 131 x 20,2011 = 75,632,544

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


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