Q: What are the factor combinations of the number 20,152,991?

 A:
Positive:   1 x 2015299123 x 876217157 x 1283633611 x 5581
Negative: -1 x -20152991-23 x -876217-157 x -128363-3611 x -5581


How do I find the factor combinations of the number 20,152,991?

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 20,152,991, 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 20,152,991
-1 -20,152,991

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 20,152,991.

Example:
1 x 20,152,991 = 20,152,991
and
-1 x -20,152,991 = 20,152,991
Notice both answers equal 20,152,991

With that explanation out of the way, let's continue. Next, we take the number 20,152,991 and divide it by 2:

20,152,991 ÷ 2 = 10,076,495.5

If the quotient is a whole number, then 2 and 10,076,495.5 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 20,152,991
-1 -20,152,991

Now, we try dividing 20,152,991 by 3:

20,152,991 ÷ 3 = 6,717,663.6667

If the quotient is a whole number, then 3 and 6,717,663.6667 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 20,152,991
-1 -20,152,991

Let's try dividing by 4:

20,152,991 ÷ 4 = 5,038,247.75

If the quotient is a whole number, then 4 and 5,038,247.75 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 20,152,991
-1 20,152,991
Keep dividing by the next highest number until you cannot divide anymore.

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

1231573,6115,581128,363876,21720,152,991
-1-23-157-3,611-5,581-128,363-876,217-20,152,991

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,152,991:


Ask a Question