Q: What are the prime factors of the number 555,886,112?

 A: 2, 43, 127, 3181

Why are those the prime factors of the number 555,886,112?

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 555,886,112

555,886,112
Factor Arrows
2277,943,056
Factor Arrows
2138,971,528
Factor Arrows
269,485,764
Factor Arrows
234,742,882
Factor Arrows
217,371,441
Factor Arrows
43403,987
Factor Arrows
1273,181

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, 43, 127, 3181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 43 x 127 x 3,181 = 555,886,112

This can also be written as 25 x 431 x 1271 x 3,1811 = 555,886,112

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


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