Q: What are the factor combinations of the number 20,201,207?

 A:
Positive:   1 x 2020120713 x 1553939569 x 355032731 x 7397
Negative: -1 x -20201207-13 x -1553939-569 x -35503-2731 x -7397


How do I find the factor combinations of the number 20,201,207?

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 20,201,207, 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 20,201,207
-1 -20,201,207

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 20,201,207.

Example:
1 x 20,201,207 = 20,201,207
and
-1 x -20,201,207 = 20,201,207
Notice both answers equal 20,201,207

With that explanation out of the way, let's continue. Next, we take the number 20,201,207 and divide it by 2:

20,201,207 ÷ 2 = 10,100,603.5

If the quotient is a whole number, then 2 and 10,100,603.5 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 20,201,207
-1 -20,201,207

Now, we try dividing 20,201,207 by 3:

20,201,207 ÷ 3 = 6,733,735.6667

If the quotient is a whole number, then 3 and 6,733,735.6667 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 20,201,207
-1 -20,201,207

Let's try dividing by 4:

20,201,207 ÷ 4 = 5,050,301.75

If the quotient is a whole number, then 4 and 5,050,301.75 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 20,201,207
-1 20,201,207
Keep dividing by the next highest number until you cannot divide anymore.

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

1135692,7317,39735,5031,553,93920,201,207
-1-13-569-2,731-7,397-35,503-1,553,939-20,201,207

More Examples

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