Q: What are the prime factors of the number 23,303,648?

 A: 2, 353, 2063

Why are those the prime factors of the number 23,303,648?

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 23,303,648

23,303,648
Factor Arrows
211,651,824
Factor Arrows
25,825,912
Factor Arrows
22,912,956
Factor Arrows
21,456,478
Factor Arrows
2728,239
Factor Arrows
3532,063

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, 353, 2063

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 353 x 2,063 = 23,303,648

This can also be written as 25 x 3531 x 2,0631 = 23,303,648

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


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