Q: What are the prime factors of the number 28,549,881?

 A: 3, 53, 71, 281

Why are those the prime factors of the number 28,549,881?

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 28,549,881

28,549,881
Factor Arrows
39,516,627
Factor Arrows
33,172,209
Factor Arrows
31,057,403
Factor Arrows
5319,951
Factor Arrows
71281

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:

3, 53, 71, 281

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 53 x 71 x 281 = 28,549,881

This can also be written as 33 x 531 x 711 x 2811 = 28,549,881

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


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