Q: What are the factor combinations of the number 20,759,701?

 A:
Positive:   1 x 2075970137 x 561073131 x 1584714283 x 4847
Negative: -1 x -20759701-37 x -561073-131 x -158471-4283 x -4847


How do I find the factor combinations of the number 20,759,701?

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 20,759,701, 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 20,759,701
-1 -20,759,701

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 20,759,701.

Example:
1 x 20,759,701 = 20,759,701
and
-1 x -20,759,701 = 20,759,701
Notice both answers equal 20,759,701

With that explanation out of the way, let's continue. Next, we take the number 20,759,701 and divide it by 2:

20,759,701 ÷ 2 = 10,379,850.5

If the quotient is a whole number, then 2 and 10,379,850.5 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 20,759,701
-1 -20,759,701

Now, we try dividing 20,759,701 by 3:

20,759,701 ÷ 3 = 6,919,900.3333

If the quotient is a whole number, then 3 and 6,919,900.3333 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 20,759,701
-1 -20,759,701

Let's try dividing by 4:

20,759,701 ÷ 4 = 5,189,925.25

If the quotient is a whole number, then 4 and 5,189,925.25 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 20,759,701
-1 20,759,701
Keep dividing by the next highest number until you cannot divide anymore.

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

1371314,2834,847158,471561,07320,759,701
-1-37-131-4,283-4,847-158,471-561,073-20,759,701

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,759,701:


Ask a Question