Q: What are the factor combinations of the number 20,030,311?

 A:
Positive:   1 x 200303117 x 2861473233 x 859671631 x 12281
Negative: -1 x -20030311-7 x -2861473-233 x -85967-1631 x -12281


How do I find the factor combinations of the number 20,030,311?

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 20,030,311, 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 20,030,311
-1 -20,030,311

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 20,030,311.

Example:
1 x 20,030,311 = 20,030,311
and
-1 x -20,030,311 = 20,030,311
Notice both answers equal 20,030,311

With that explanation out of the way, let's continue. Next, we take the number 20,030,311 and divide it by 2:

20,030,311 ÷ 2 = 10,015,155.5

If the quotient is a whole number, then 2 and 10,015,155.5 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 20,030,311
-1 -20,030,311

Now, we try dividing 20,030,311 by 3:

20,030,311 ÷ 3 = 6,676,770.3333

If the quotient is a whole number, then 3 and 6,676,770.3333 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 20,030,311
-1 -20,030,311

Let's try dividing by 4:

20,030,311 ÷ 4 = 5,007,577.75

If the quotient is a whole number, then 4 and 5,007,577.75 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 20,030,311
-1 20,030,311
Keep dividing by the next highest number until you cannot divide anymore.

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

172331,63112,28185,9672,861,47320,030,311
-1-7-233-1,631-12,281-85,967-2,861,473-20,030,311

More Examples

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