Q: What are the factor combinations of the number 21,555,325?

 A:
Positive:   1 x 215553255 x 431106511 x 195957525 x 86221355 x 391915103 x 209275275 x 78383515 x 41855761 x 283251133 x 190252575 x 83713805 x 5665
Negative: -1 x -21555325-5 x -4311065-11 x -1959575-25 x -862213-55 x -391915-103 x -209275-275 x -78383-515 x -41855-761 x -28325-1133 x -19025-2575 x -8371-3805 x -5665


How do I find the factor combinations of the number 21,555,325?

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 21,555,325, 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 21,555,325
-1 -21,555,325

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 21,555,325.

Example:
1 x 21,555,325 = 21,555,325
and
-1 x -21,555,325 = 21,555,325
Notice both answers equal 21,555,325

With that explanation out of the way, let's continue. Next, we take the number 21,555,325 and divide it by 2:

21,555,325 ÷ 2 = 10,777,662.5

If the quotient is a whole number, then 2 and 10,777,662.5 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 21,555,325
-1 -21,555,325

Now, we try dividing 21,555,325 by 3:

21,555,325 ÷ 3 = 7,185,108.3333

If the quotient is a whole number, then 3 and 7,185,108.3333 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 21,555,325
-1 -21,555,325

Let's try dividing by 4:

21,555,325 ÷ 4 = 5,388,831.25

If the quotient is a whole number, then 4 and 5,388,831.25 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 21,555,325
-1 21,555,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551032755157611,1332,5753,8055,6658,37119,02528,32541,85578,383209,275391,915862,2131,959,5754,311,06521,555,325
-1-5-11-25-55-103-275-515-761-1,133-2,575-3,805-5,665-8,371-19,025-28,325-41,855-78,383-209,275-391,915-862,213-1,959,575-4,311,065-21,555,325

More Examples

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