Q: What are the prime factors of the number 554,752?

 A: 2, 11, 197

Why are those the prime factors of the number 554,752?

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 554,752

554,752
Factor Arrows
2277,376
Factor Arrows
2138,688
Factor Arrows
269,344
Factor Arrows
234,672
Factor Arrows
217,336
Factor Arrows
28,668
Factor Arrows
24,334
Factor Arrows
22,167
Factor Arrows
11197

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, 11, 197

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 2 x 11 x 197 = 554,752

This can also be written as 28 x 111 x 1971 = 554,752

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


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