Q: What are the prime factors of the number 2,803,232?

 A: 2, 17, 5153

Why are those the prime factors of the number 2,803,232?

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 2,803,232

2,803,232
Factor Arrows
21,401,616
Factor Arrows
2700,808
Factor Arrows
2350,404
Factor Arrows
2175,202
Factor Arrows
287,601
Factor Arrows
175,153

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, 17, 5153

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 5,153 = 2,803,232

This can also be written as 25 x 171 x 5,1531 = 2,803,232

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


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