Q: What are the prime factors of the number 541,877,868?

 A: 2, 3, 7, 307187

Why are those the prime factors of the number 541,877,868?

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 541,877,868

541,877,868
Factor Arrows
2270,938,934
Factor Arrows
2135,469,467
Factor Arrows
345,156,489
Factor Arrows
315,052,163
Factor Arrows
72,150,309
Factor Arrows
7307,187

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, 7, 307187

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 7 x 307,187 = 541,877,868

This can also be written as 22 x 32 x 72 x 307,1871 = 541,877,868

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


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