Q: What are the factor combinations of the number 20,357,561?

 A:
Positive:   1 x 203575617 x 2908223277 x 734931939 x 10499
Negative: -1 x -20357561-7 x -2908223-277 x -73493-1939 x -10499


How do I find the factor combinations of the number 20,357,561?

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 20,357,561, 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 20,357,561
-1 -20,357,561

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 20,357,561.

Example:
1 x 20,357,561 = 20,357,561
and
-1 x -20,357,561 = 20,357,561
Notice both answers equal 20,357,561

With that explanation out of the way, let's continue. Next, we take the number 20,357,561 and divide it by 2:

20,357,561 ÷ 2 = 10,178,780.5

If the quotient is a whole number, then 2 and 10,178,780.5 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 20,357,561
-1 -20,357,561

Now, we try dividing 20,357,561 by 3:

20,357,561 ÷ 3 = 6,785,853.6667

If the quotient is a whole number, then 3 and 6,785,853.6667 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 20,357,561
-1 -20,357,561

Let's try dividing by 4:

20,357,561 ÷ 4 = 5,089,390.25

If the quotient is a whole number, then 4 and 5,089,390.25 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 20,357,561
-1 20,357,561
Keep dividing by the next highest number until you cannot divide anymore.

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

172771,93910,49973,4932,908,22320,357,561
-1-7-277-1,939-10,499-73,493-2,908,223-20,357,561

More Examples

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