Q: What are the factor combinations of the number 11,321,125?

 A:
Positive:   1 x 113211255 x 226422525 x 45284541 x 27612547 x 240875125 x 90569205 x 55225235 x 481751025 x 110451175 x 96351927 x 58752209 x 5125
Negative: -1 x -11321125-5 x -2264225-25 x -452845-41 x -276125-47 x -240875-125 x -90569-205 x -55225-235 x -48175-1025 x -11045-1175 x -9635-1927 x -5875-2209 x -5125


How do I find the factor combinations of the number 11,321,125?

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 11,321,125, 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 11,321,125
-1 -11,321,125

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 11,321,125.

Example:
1 x 11,321,125 = 11,321,125
and
-1 x -11,321,125 = 11,321,125
Notice both answers equal 11,321,125

With that explanation out of the way, let's continue. Next, we take the number 11,321,125 and divide it by 2:

11,321,125 ÷ 2 = 5,660,562.5

If the quotient is a whole number, then 2 and 5,660,562.5 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 11,321,125
-1 -11,321,125

Now, we try dividing 11,321,125 by 3:

11,321,125 ÷ 3 = 3,773,708.3333

If the quotient is a whole number, then 3 and 3,773,708.3333 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 11,321,125
-1 -11,321,125

Let's try dividing by 4:

11,321,125 ÷ 4 = 2,830,281.25

If the quotient is a whole number, then 4 and 2,830,281.25 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 11,321,125
-1 11,321,125
Keep dividing by the next highest number until you cannot divide anymore.

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

152541471252052351,0251,1751,9272,2095,1255,8759,63511,04548,17555,22590,569240,875276,125452,8452,264,22511,321,125
-1-5-25-41-47-125-205-235-1,025-1,175-1,927-2,209-5,125-5,875-9,635-11,045-48,175-55,225-90,569-240,875-276,125-452,845-2,264,225-11,321,125

More Examples

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