Q: What are the prime factors of the number 4,043,232?

 A: 2, 3, 101, 139

Why are those the prime factors of the number 4,043,232?

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 4,043,232

4,043,232
Factor Arrows
22,021,616
Factor Arrows
21,010,808
Factor Arrows
2505,404
Factor Arrows
2252,702
Factor Arrows
2126,351
Factor Arrows
342,117
Factor Arrows
314,039
Factor Arrows
101139

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, 101, 139

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 101 x 139 = 4,043,232

This can also be written as 25 x 32 x 1011 x 1391 = 4,043,232

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


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