Q: What are the factor combinations of the number 20,405,035?

 A:
Positive:   1 x 204050355 x 40810077 x 291500535 x 583001181 x 112735905 x 225471267 x 161053221 x 6335
Negative: -1 x -20405035-5 x -4081007-7 x -2915005-35 x -583001-181 x -112735-905 x -22547-1267 x -16105-3221 x -6335


How do I find the factor combinations of the number 20,405,035?

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 20,405,035, 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 20,405,035
-1 -20,405,035

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 20,405,035.

Example:
1 x 20,405,035 = 20,405,035
and
-1 x -20,405,035 = 20,405,035
Notice both answers equal 20,405,035

With that explanation out of the way, let's continue. Next, we take the number 20,405,035 and divide it by 2:

20,405,035 ÷ 2 = 10,202,517.5

If the quotient is a whole number, then 2 and 10,202,517.5 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 20,405,035
-1 -20,405,035

Now, we try dividing 20,405,035 by 3:

20,405,035 ÷ 3 = 6,801,678.3333

If the quotient is a whole number, then 3 and 6,801,678.3333 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 20,405,035
-1 -20,405,035

Let's try dividing by 4:

20,405,035 ÷ 4 = 5,101,258.75

If the quotient is a whole number, then 4 and 5,101,258.75 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 20,405,035
-1 20,405,035
Keep dividing by the next highest number until you cannot divide anymore.

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

157351819051,2673,2216,33516,10522,547112,735583,0012,915,0054,081,00720,405,035
-1-5-7-35-181-905-1,267-3,221-6,335-16,105-22,547-112,735-583,001-2,915,005-4,081,007-20,405,035

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