Q: What are the factor combinations of the number 21,343,399?

 A:
Positive:   1 x 213433997 x 304905711 x 194030977 x 277187109 x 195811763 x 279731199 x 178012543 x 8393
Negative: -1 x -21343399-7 x -3049057-11 x -1940309-77 x -277187-109 x -195811-763 x -27973-1199 x -17801-2543 x -8393


How do I find the factor combinations of the number 21,343,399?

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 21,343,399, 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 21,343,399
-1 -21,343,399

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 21,343,399.

Example:
1 x 21,343,399 = 21,343,399
and
-1 x -21,343,399 = 21,343,399
Notice both answers equal 21,343,399

With that explanation out of the way, let's continue. Next, we take the number 21,343,399 and divide it by 2:

21,343,399 ÷ 2 = 10,671,699.5

If the quotient is a whole number, then 2 and 10,671,699.5 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 21,343,399
-1 -21,343,399

Now, we try dividing 21,343,399 by 3:

21,343,399 ÷ 3 = 7,114,466.3333

If the quotient is a whole number, then 3 and 7,114,466.3333 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 21,343,399
-1 -21,343,399

Let's try dividing by 4:

21,343,399 ÷ 4 = 5,335,849.75

If the quotient is a whole number, then 4 and 5,335,849.75 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 21,343,399
-1 21,343,399
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771097631,1992,5438,39317,80127,973195,811277,1871,940,3093,049,05721,343,399
-1-7-11-77-109-763-1,199-2,543-8,393-17,801-27,973-195,811-277,187-1,940,309-3,049,057-21,343,399

More Examples

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