Q: What are the prime factors of the number 26,742,460?

 A: 2, 5, 31, 43133

Why are those the prime factors of the number 26,742,460?

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 26,742,460

26,742,460
Factor Arrows
213,371,230
Factor Arrows
26,685,615
Factor Arrows
51,337,123
Factor Arrows
3143,133

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, 5, 31, 43133

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 31 x 43,133 = 26,742,460

This can also be written as 22 x 51 x 311 x 43,1331 = 26,742,460

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


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