Q: What are the factor combinations of the number 20,265,227?

 A:
Positive:   1 x 2026522731 x 653717139 x 1457934309 x 4703
Negative: -1 x -20265227-31 x -653717-139 x -145793-4309 x -4703


How do I find the factor combinations of the number 20,265,227?

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 20,265,227, 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 20,265,227
-1 -20,265,227

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 20,265,227.

Example:
1 x 20,265,227 = 20,265,227
and
-1 x -20,265,227 = 20,265,227
Notice both answers equal 20,265,227

With that explanation out of the way, let's continue. Next, we take the number 20,265,227 and divide it by 2:

20,265,227 ÷ 2 = 10,132,613.5

If the quotient is a whole number, then 2 and 10,132,613.5 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 20,265,227
-1 -20,265,227

Now, we try dividing 20,265,227 by 3:

20,265,227 ÷ 3 = 6,755,075.6667

If the quotient is a whole number, then 3 and 6,755,075.6667 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 20,265,227
-1 -20,265,227

Let's try dividing by 4:

20,265,227 ÷ 4 = 5,066,306.75

If the quotient is a whole number, then 4 and 5,066,306.75 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 20,265,227
-1 20,265,227
Keep dividing by the next highest number until you cannot divide anymore.

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

1311394,3094,703145,793653,71720,265,227
-1-31-139-4,309-4,703-145,793-653,717-20,265,227

More Examples

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