Q: What are the factor combinations of the number 1,231,769?

 A:
Positive:   1 x 12317697 x 17596711 x 11197917 x 7245777 x 15997119 x 10351187 x 6587941 x 1309
Negative: -1 x -1231769-7 x -175967-11 x -111979-17 x -72457-77 x -15997-119 x -10351-187 x -6587-941 x -1309


How do I find the factor combinations of the number 1,231,769?

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 1,231,769, 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 1,231,769
-1 -1,231,769

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 1,231,769.

Example:
1 x 1,231,769 = 1,231,769
and
-1 x -1,231,769 = 1,231,769
Notice both answers equal 1,231,769

With that explanation out of the way, let's continue. Next, we take the number 1,231,769 and divide it by 2:

1,231,769 ÷ 2 = 615,884.5

If the quotient is a whole number, then 2 and 615,884.5 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 1,231,769
-1 -1,231,769

Now, we try dividing 1,231,769 by 3:

1,231,769 ÷ 3 = 410,589.6667

If the quotient is a whole number, then 3 and 410,589.6667 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 1,231,769
-1 -1,231,769

Let's try dividing by 4:

1,231,769 ÷ 4 = 307,942.25

If the quotient is a whole number, then 4 and 307,942.25 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 1,231,769
-1 1,231,769
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191879411,3096,58710,35115,99772,457111,979175,9671,231,769
-1-7-11-17-77-119-187-941-1,309-6,587-10,351-15,997-72,457-111,979-175,967-1,231,769

More Examples

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