Q: What are the factor combinations of the number 1,107,379?

 A:
Positive:   1 x 11073797 x 15819713 x 8518343 x 2575391 x 12169283 x 3913301 x 3679559 x 1981
Negative: -1 x -1107379-7 x -158197-13 x -85183-43 x -25753-91 x -12169-283 x -3913-301 x -3679-559 x -1981


How do I find the factor combinations of the number 1,107,379?

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 1,107,379, 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 1,107,379
-1 -1,107,379

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 1,107,379.

Example:
1 x 1,107,379 = 1,107,379
and
-1 x -1,107,379 = 1,107,379
Notice both answers equal 1,107,379

With that explanation out of the way, let's continue. Next, we take the number 1,107,379 and divide it by 2:

1,107,379 ÷ 2 = 553,689.5

If the quotient is a whole number, then 2 and 553,689.5 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 1,107,379
-1 -1,107,379

Now, we try dividing 1,107,379 by 3:

1,107,379 ÷ 3 = 369,126.3333

If the quotient is a whole number, then 3 and 369,126.3333 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 1,107,379
-1 -1,107,379

Let's try dividing by 4:

1,107,379 ÷ 4 = 276,844.75

If the quotient is a whole number, then 4 and 276,844.75 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 1,107,379
-1 1,107,379
Keep dividing by the next highest number until you cannot divide anymore.

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

171343912833015591,9813,6793,91312,16925,75385,183158,1971,107,379
-1-7-13-43-91-283-301-559-1,981-3,679-3,913-12,169-25,753-85,183-158,197-1,107,379

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