Q: What are the prime factors of the number 1,401,876?

 A: 2, 3, 7, 5563

Why are those the prime factors of the number 1,401,876?

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 1,401,876

1,401,876
Factor Arrows
2700,938
Factor Arrows
2350,469
Factor Arrows
3116,823
Factor Arrows
338,941
Factor Arrows
75,563

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, 5563

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 5,563 = 1,401,876

This can also be written as 22 x 32 x 71 x 5,5631 = 1,401,876

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


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