Q: What are the prime factors of the number 17,253,504?

 A: 2, 3, 17, 881

Why are those the prime factors of the number 17,253,504?

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 17,253,504

17,253,504
Factor Arrows
28,626,752
Factor Arrows
24,313,376
Factor Arrows
22,156,688
Factor Arrows
21,078,344
Factor Arrows
2539,172
Factor Arrows
2269,586
Factor Arrows
2134,793
Factor Arrows
344,931
Factor Arrows
314,977
Factor Arrows
17881

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, 17, 881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 881 = 17,253,504

This can also be written as 27 x 32 x 171 x 8811 = 17,253,504

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


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