Q: What are the factor combinations of the number 1,122,055?

 A:
Positive:   1 x 11220555 x 22441111 x 10200523 x 4878555 x 20401115 x 9757253 x 4435887 x 1265
Negative: -1 x -1122055-5 x -224411-11 x -102005-23 x -48785-55 x -20401-115 x -9757-253 x -4435-887 x -1265


How do I find the factor combinations of the number 1,122,055?

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 1,122,055, 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 1,122,055
-1 -1,122,055

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 1,122,055.

Example:
1 x 1,122,055 = 1,122,055
and
-1 x -1,122,055 = 1,122,055
Notice both answers equal 1,122,055

With that explanation out of the way, let's continue. Next, we take the number 1,122,055 and divide it by 2:

1,122,055 ÷ 2 = 561,027.5

If the quotient is a whole number, then 2 and 561,027.5 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 1,122,055
-1 -1,122,055

Now, we try dividing 1,122,055 by 3:

1,122,055 ÷ 3 = 374,018.3333

If the quotient is a whole number, then 3 and 374,018.3333 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 1,122,055
-1 -1,122,055

Let's try dividing by 4:

1,122,055 ÷ 4 = 280,513.75

If the quotient is a whole number, then 4 and 280,513.75 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 1,122,055
-1 1,122,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152538871,2654,4359,75720,40148,785102,005224,4111,122,055
-1-5-11-23-55-115-253-887-1,265-4,435-9,757-20,401-48,785-102,005-224,411-1,122,055

More Examples

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