Q: What are the prime factors of the number 653,448?

 A: 2, 3, 19, 1433

Why are those the prime factors of the number 653,448?

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 653,448

653,448
Factor Arrows
2326,724
Factor Arrows
2163,362
Factor Arrows
281,681
Factor Arrows
327,227
Factor Arrows
191,433

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, 19, 1433

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 19 x 1,433 = 653,448

This can also be written as 23 x 31 x 191 x 1,4331 = 653,448

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


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