Q: What are the factor combinations of the number 21,320,747?

 A:
Positive:   1 x 213207477 x 304582123 x 926989151 x 141197161 x 132427877 x 243111057 x 201713473 x 6139
Negative: -1 x -21320747-7 x -3045821-23 x -926989-151 x -141197-161 x -132427-877 x -24311-1057 x -20171-3473 x -6139


How do I find the factor combinations of the number 21,320,747?

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 21,320,747, 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 21,320,747
-1 -21,320,747

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 21,320,747.

Example:
1 x 21,320,747 = 21,320,747
and
-1 x -21,320,747 = 21,320,747
Notice both answers equal 21,320,747

With that explanation out of the way, let's continue. Next, we take the number 21,320,747 and divide it by 2:

21,320,747 ÷ 2 = 10,660,373.5

If the quotient is a whole number, then 2 and 10,660,373.5 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 21,320,747
-1 -21,320,747

Now, we try dividing 21,320,747 by 3:

21,320,747 ÷ 3 = 7,106,915.6667

If the quotient is a whole number, then 3 and 7,106,915.6667 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 21,320,747
-1 -21,320,747

Let's try dividing by 4:

21,320,747 ÷ 4 = 5,330,186.75

If the quotient is a whole number, then 4 and 5,330,186.75 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 21,320,747
-1 21,320,747
Keep dividing by the next highest number until you cannot divide anymore.

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

17231511618771,0573,4736,13920,17124,311132,427141,197926,9893,045,82121,320,747
-1-7-23-151-161-877-1,057-3,473-6,139-20,171-24,311-132,427-141,197-926,989-3,045,821-21,320,747

More Examples

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