Q: What are the prime factors of the number 28,993,276?

 A: 2, 13, 71, 7853

Why are those the prime factors of the number 28,993,276?

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 28,993,276

28,993,276
Factor Arrows
214,496,638
Factor Arrows
27,248,319
Factor Arrows
13557,563
Factor Arrows
717,853

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, 13, 71, 7853

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 71 x 7,853 = 28,993,276

This can also be written as 22 x 131 x 711 x 7,8531 = 28,993,276

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


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