Q: What are the prime factors of the number 26,424,552?

 A: 2, 3, 7, 11, 79, 181

Why are those the prime factors of the number 26,424,552?

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 26,424,552

26,424,552
Factor Arrows
213,212,276
Factor Arrows
26,606,138
Factor Arrows
23,303,069
Factor Arrows
31,101,023
Factor Arrows
7157,289
Factor Arrows
1114,299
Factor Arrows
79181

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, 11, 79, 181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 11 x 79 x 181 = 26,424,552

This can also be written as 23 x 31 x 71 x 111 x 791 x 1811 = 26,424,552

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


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