Q: What are the factor combinations of the number 20,210,909?

 A:
Positive:   1 x 2021090917 x 118887741 x 492949107 x 188887271 x 74579697 x 289971819 x 111114387 x 4607
Negative: -1 x -20210909-17 x -1188877-41 x -492949-107 x -188887-271 x -74579-697 x -28997-1819 x -11111-4387 x -4607


How do I find the factor combinations of the number 20,210,909?

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 20,210,909, 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 20,210,909
-1 -20,210,909

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 20,210,909.

Example:
1 x 20,210,909 = 20,210,909
and
-1 x -20,210,909 = 20,210,909
Notice both answers equal 20,210,909

With that explanation out of the way, let's continue. Next, we take the number 20,210,909 and divide it by 2:

20,210,909 ÷ 2 = 10,105,454.5

If the quotient is a whole number, then 2 and 10,105,454.5 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 20,210,909
-1 -20,210,909

Now, we try dividing 20,210,909 by 3:

20,210,909 ÷ 3 = 6,736,969.6667

If the quotient is a whole number, then 3 and 6,736,969.6667 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 20,210,909
-1 -20,210,909

Let's try dividing by 4:

20,210,909 ÷ 4 = 5,052,727.25

If the quotient is a whole number, then 4 and 5,052,727.25 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 20,210,909
-1 20,210,909
Keep dividing by the next highest number until you cannot divide anymore.

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

117411072716971,8194,3874,60711,11128,99774,579188,887492,9491,188,87720,210,909
-1-17-41-107-271-697-1,819-4,387-4,607-11,111-28,997-74,579-188,887-492,949-1,188,877-20,210,909

More Examples

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