Q: What are the prime factors of the number 533,543,112?

 A: 2, 3, 181, 4549

Why are those the prime factors of the number 533,543,112?

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 533,543,112

533,543,112
Factor Arrows
2266,771,556
Factor Arrows
2133,385,778
Factor Arrows
266,692,889
Factor Arrows
322,230,963
Factor Arrows
37,410,321
Factor Arrows
32,470,107
Factor Arrows
3823,369
Factor Arrows
1814,549

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, 181, 4549

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 181 x 4,549 = 533,543,112

This can also be written as 23 x 34 x 1811 x 4,5491 = 533,543,112

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


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