Q: What are the prime factors of the number 40,871,446?

 A: 2, 7, 11, 265399

Why are those the prime factors of the number 40,871,446?

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 40,871,446

40,871,446
Factor Arrows
220,435,723
Factor Arrows
72,919,389
Factor Arrows
11265,399

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, 11, 265399

We can check our work by multiplying all of the prime factors together: 2 x 7 x 11 x 265,399 = 40,871,446

This can also be written as 21 x 71 x 111 x 265,3991 = 40,871,446

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


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