Q: What are the factor combinations of the number 20,022,431?

 A:
Positive:   1 x 2002243111 x 182022113 x 1540187143 x 140017163 x 122837859 x 233091793 x 111672119 x 9449
Negative: -1 x -20022431-11 x -1820221-13 x -1540187-143 x -140017-163 x -122837-859 x -23309-1793 x -11167-2119 x -9449


How do I find the factor combinations of the number 20,022,431?

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 20,022,431, 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 20,022,431
-1 -20,022,431

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 20,022,431.

Example:
1 x 20,022,431 = 20,022,431
and
-1 x -20,022,431 = 20,022,431
Notice both answers equal 20,022,431

With that explanation out of the way, let's continue. Next, we take the number 20,022,431 and divide it by 2:

20,022,431 ÷ 2 = 10,011,215.5

If the quotient is a whole number, then 2 and 10,011,215.5 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 20,022,431
-1 -20,022,431

Now, we try dividing 20,022,431 by 3:

20,022,431 ÷ 3 = 6,674,143.6667

If the quotient is a whole number, then 3 and 6,674,143.6667 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 20,022,431
-1 -20,022,431

Let's try dividing by 4:

20,022,431 ÷ 4 = 5,005,607.75

If the quotient is a whole number, then 4 and 5,005,607.75 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 20,022,431
-1 20,022,431
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431638591,7932,1199,44911,16723,309122,837140,0171,540,1871,820,22120,022,431
-1-11-13-143-163-859-1,793-2,119-9,449-11,167-23,309-122,837-140,017-1,540,187-1,820,221-20,022,431

More Examples

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