Q: What are the prime factors of the number 26,446,462?

 A: 2, 7, 43, 197, 223

Why are those the prime factors of the number 26,446,462?

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 26,446,462

26,446,462
Factor Arrows
213,223,231
Factor Arrows
71,889,033
Factor Arrows
4343,931
Factor Arrows
197223

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, 7, 43, 197, 223

We can check our work by multiplying all of the prime factors together: 2 x 7 x 43 x 197 x 223 = 26,446,462

This can also be written as 21 x 71 x 431 x 1971 x 2231 = 26,446,462

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


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