Q: What are the factor combinations of the number 1,337,791?

 A:
Positive:   1 x 13377917 x 19111313 x 10290761 x 2193191 x 14701241 x 5551427 x 3133793 x 1687
Negative: -1 x -1337791-7 x -191113-13 x -102907-61 x -21931-91 x -14701-241 x -5551-427 x -3133-793 x -1687


How do I find the factor combinations of the number 1,337,791?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 1,337,791, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 1,337,791
-1 -1,337,791

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,337,791.

Example:
1 x 1,337,791 = 1,337,791
and
-1 x -1,337,791 = 1,337,791
Notice both answers equal 1,337,791

With that explanation out of the way, let's continue. Next, we take the number 1,337,791 and divide it by 2:

1,337,791 ÷ 2 = 668,895.5

If the quotient is a whole number, then 2 and 668,895.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 1,337,791
-1 -1,337,791

Now, we try dividing 1,337,791 by 3:

1,337,791 ÷ 3 = 445,930.3333

If the quotient is a whole number, then 3 and 445,930.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 1,337,791
-1 -1,337,791

Let's try dividing by 4:

1,337,791 ÷ 4 = 334,447.75

If the quotient is a whole number, then 4 and 334,447.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 1,337,791
-1 1,337,791
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

171361912414277931,6873,1335,55114,70121,931102,907191,1131,337,791
-1-7-13-61-91-241-427-793-1,687-3,133-5,551-14,701-21,931-102,907-191,113-1,337,791

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