Q: What are the prime factors of the number 542,034,112?

 A: 2, 8469283

Why are those the prime factors of the number 542,034,112?

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 542,034,112

542,034,112
Factor Arrows
2271,017,056
Factor Arrows
2135,508,528
Factor Arrows
267,754,264
Factor Arrows
233,877,132
Factor Arrows
216,938,566
Factor Arrows
28,469,283

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, 8469283

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 8,469,283 = 542,034,112

This can also be written as 26 x 8,469,2831 = 542,034,112

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


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