Q: What are the factor combinations of the number 1,267,945?

 A:
Positive:   1 x 12679455 x 2535897 x 18113517 x 7458535 x 3622785 x 14917119 x 10655595 x 2131
Negative: -1 x -1267945-5 x -253589-7 x -181135-17 x -74585-35 x -36227-85 x -14917-119 x -10655-595 x -2131


How do I find the factor combinations of the number 1,267,945?

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 1,267,945, 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 1,267,945
-1 -1,267,945

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 1,267,945.

Example:
1 x 1,267,945 = 1,267,945
and
-1 x -1,267,945 = 1,267,945
Notice both answers equal 1,267,945

With that explanation out of the way, let's continue. Next, we take the number 1,267,945 and divide it by 2:

1,267,945 ÷ 2 = 633,972.5

If the quotient is a whole number, then 2 and 633,972.5 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 1,267,945
-1 -1,267,945

Now, we try dividing 1,267,945 by 3:

1,267,945 ÷ 3 = 422,648.3333

If the quotient is a whole number, then 3 and 422,648.3333 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 1,267,945
-1 -1,267,945

Let's try dividing by 4:

1,267,945 ÷ 4 = 316,986.25

If the quotient is a whole number, then 4 and 316,986.25 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 1,267,945
-1 1,267,945
Keep dividing by the next highest number until you cannot divide anymore.

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

1571735851195952,13110,65514,91736,22774,585181,135253,5891,267,945
-1-5-7-17-35-85-119-595-2,131-10,655-14,917-36,227-74,585-181,135-253,589-1,267,945

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