Q: What are the factor combinations of the number 21,116,425?

 A:
Positive:   1 x 211164255 x 422328511 x 191967525 x 84465731 x 68117555 x 383935155 x 136235275 x 76787341 x 61925775 x 272471705 x 123852477 x 8525
Negative: -1 x -21116425-5 x -4223285-11 x -1919675-25 x -844657-31 x -681175-55 x -383935-155 x -136235-275 x -76787-341 x -61925-775 x -27247-1705 x -12385-2477 x -8525


How do I find the factor combinations of the number 21,116,425?

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 21,116,425, 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 21,116,425
-1 -21,116,425

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 21,116,425.

Example:
1 x 21,116,425 = 21,116,425
and
-1 x -21,116,425 = 21,116,425
Notice both answers equal 21,116,425

With that explanation out of the way, let's continue. Next, we take the number 21,116,425 and divide it by 2:

21,116,425 ÷ 2 = 10,558,212.5

If the quotient is a whole number, then 2 and 10,558,212.5 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 21,116,425
-1 -21,116,425

Now, we try dividing 21,116,425 by 3:

21,116,425 ÷ 3 = 7,038,808.3333

If the quotient is a whole number, then 3 and 7,038,808.3333 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 21,116,425
-1 -21,116,425

Let's try dividing by 4:

21,116,425 ÷ 4 = 5,279,106.25

If the quotient is a whole number, then 4 and 5,279,106.25 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 21,116,425
-1 21,116,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15112531551552753417751,7052,4778,52512,38527,24761,92576,787136,235383,935681,175844,6571,919,6754,223,28521,116,425
-1-5-11-25-31-55-155-275-341-775-1,705-2,477-8,525-12,385-27,247-61,925-76,787-136,235-383,935-681,175-844,657-1,919,675-4,223,285-21,116,425

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