Q: What are the prime factors of the number 8,979,552?

 A: 2, 3, 19, 547

Why are those the prime factors of the number 8,979,552?

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 8,979,552

8,979,552
Factor Arrows
24,489,776
Factor Arrows
22,244,888
Factor Arrows
21,122,444
Factor Arrows
2561,222
Factor Arrows
2280,611
Factor Arrows
393,537
Factor Arrows
331,179
Factor Arrows
310,393
Factor Arrows
19547

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, 547

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 3 x 19 x 547 = 8,979,552

This can also be written as 25 x 33 x 191 x 5471 = 8,979,552

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


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