Q: What are the prime factors of the number 1,467,756?

 A: 2, 3, 40771

Why are those the prime factors of the number 1,467,756?

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 1,467,756

1,467,756
Factor Arrows
2733,878
Factor Arrows
2366,939
Factor Arrows
3122,313
Factor Arrows
340,771

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, 40771

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 40,771 = 1,467,756

This can also be written as 22 x 32 x 40,7711 = 1,467,756

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


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