Q: What are the factor combinations of the number 20,389,181?

 A:
Positive:   1 x 2038918143 x 474167163 x 1250872909 x 7009
Negative: -1 x -20389181-43 x -474167-163 x -125087-2909 x -7009


How do I find the factor combinations of the number 20,389,181?

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 20,389,181, 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 20,389,181
-1 -20,389,181

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 20,389,181.

Example:
1 x 20,389,181 = 20,389,181
and
-1 x -20,389,181 = 20,389,181
Notice both answers equal 20,389,181

With that explanation out of the way, let's continue. Next, we take the number 20,389,181 and divide it by 2:

20,389,181 ÷ 2 = 10,194,590.5

If the quotient is a whole number, then 2 and 10,194,590.5 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 20,389,181
-1 -20,389,181

Now, we try dividing 20,389,181 by 3:

20,389,181 ÷ 3 = 6,796,393.6667

If the quotient is a whole number, then 3 and 6,796,393.6667 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 20,389,181
-1 -20,389,181

Let's try dividing by 4:

20,389,181 ÷ 4 = 5,097,295.25

If the quotient is a whole number, then 4 and 5,097,295.25 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 20,389,181
-1 20,389,181
Keep dividing by the next highest number until you cannot divide anymore.

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

1431632,9097,009125,087474,16720,389,181
-1-43-163-2,909-7,009-125,087-474,167-20,389,181

More Examples

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