Q: What are the factor combinations of the number 1,361,105?

 A:
Positive:   1 x 13611055 x 27222117 x 8006567 x 2031585 x 16013239 x 5695335 x 40631139 x 1195
Negative: -1 x -1361105-5 x -272221-17 x -80065-67 x -20315-85 x -16013-239 x -5695-335 x -4063-1139 x -1195


How do I find the factor combinations of the number 1,361,105?

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 1,361,105, 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 1,361,105
-1 -1,361,105

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 1,361,105.

Example:
1 x 1,361,105 = 1,361,105
and
-1 x -1,361,105 = 1,361,105
Notice both answers equal 1,361,105

With that explanation out of the way, let's continue. Next, we take the number 1,361,105 and divide it by 2:

1,361,105 ÷ 2 = 680,552.5

If the quotient is a whole number, then 2 and 680,552.5 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 1,361,105
-1 -1,361,105

Now, we try dividing 1,361,105 by 3:

1,361,105 ÷ 3 = 453,701.6667

If the quotient is a whole number, then 3 and 453,701.6667 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 1,361,105
-1 -1,361,105

Let's try dividing by 4:

1,361,105 ÷ 4 = 340,276.25

If the quotient is a whole number, then 4 and 340,276.25 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 1,361,105
-1 1,361,105
Keep dividing by the next highest number until you cannot divide anymore.

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

151767852393351,1391,1954,0635,69516,01320,31580,065272,2211,361,105
-1-5-17-67-85-239-335-1,139-1,195-4,063-5,695-16,013-20,315-80,065-272,221-1,361,105

More Examples

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