Q: What are the factor combinations of the number 20,304,427?

 A:
Positive:   1 x 2030442711 x 184585713 x 1561879107 x 189761143 x 1419891177 x 172511327 x 153011391 x 14597
Negative: -1 x -20304427-11 x -1845857-13 x -1561879-107 x -189761-143 x -141989-1177 x -17251-1327 x -15301-1391 x -14597


How do I find the factor combinations of the number 20,304,427?

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 20,304,427, 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 20,304,427
-1 -20,304,427

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 20,304,427.

Example:
1 x 20,304,427 = 20,304,427
and
-1 x -20,304,427 = 20,304,427
Notice both answers equal 20,304,427

With that explanation out of the way, let's continue. Next, we take the number 20,304,427 and divide it by 2:

20,304,427 ÷ 2 = 10,152,213.5

If the quotient is a whole number, then 2 and 10,152,213.5 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 20,304,427
-1 -20,304,427

Now, we try dividing 20,304,427 by 3:

20,304,427 ÷ 3 = 6,768,142.3333

If the quotient is a whole number, then 3 and 6,768,142.3333 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 20,304,427
-1 -20,304,427

Let's try dividing by 4:

20,304,427 ÷ 4 = 5,076,106.75

If the quotient is a whole number, then 4 and 5,076,106.75 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 20,304,427
-1 20,304,427
Keep dividing by the next highest number until you cannot divide anymore.

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

111131071431,1771,3271,39114,59715,30117,251141,989189,7611,561,8791,845,85720,304,427
-1-11-13-107-143-1,177-1,327-1,391-14,597-15,301-17,251-141,989-189,761-1,561,879-1,845,857-20,304,427

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,304,427:


Ask a Question