Q: What are the factor combinations of the number 1,123,135?

 A:
Positive:   1 x 11231355 x 22462713 x 8639537 x 3035565 x 17279185 x 6071467 x 2405481 x 2335
Negative: -1 x -1123135-5 x -224627-13 x -86395-37 x -30355-65 x -17279-185 x -6071-467 x -2405-481 x -2335


How do I find the factor combinations of the number 1,123,135?

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 1,123,135, 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 1,123,135
-1 -1,123,135

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 1,123,135.

Example:
1 x 1,123,135 = 1,123,135
and
-1 x -1,123,135 = 1,123,135
Notice both answers equal 1,123,135

With that explanation out of the way, let's continue. Next, we take the number 1,123,135 and divide it by 2:

1,123,135 ÷ 2 = 561,567.5

If the quotient is a whole number, then 2 and 561,567.5 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 1,123,135
-1 -1,123,135

Now, we try dividing 1,123,135 by 3:

1,123,135 ÷ 3 = 374,378.3333

If the quotient is a whole number, then 3 and 374,378.3333 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 1,123,135
-1 -1,123,135

Let's try dividing by 4:

1,123,135 ÷ 4 = 280,783.75

If the quotient is a whole number, then 4 and 280,783.75 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 1,123,135
-1 1,123,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151337651854674812,3352,4056,07117,27930,35586,395224,6271,123,135
-1-5-13-37-65-185-467-481-2,335-2,405-6,071-17,279-30,355-86,395-224,627-1,123,135

More Examples

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