Q: What are the prime factors of the number 27,051,156?

 A: 2, 3, 11, 68311

Why are those the prime factors of the number 27,051,156?

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 27,051,156

27,051,156
Factor Arrows
213,525,578
Factor Arrows
26,762,789
Factor Arrows
32,254,263
Factor Arrows
3751,421
Factor Arrows
1168,311

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, 11, 68311

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 68,311 = 27,051,156

This can also be written as 22 x 32 x 111 x 68,3111 = 27,051,156

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


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