Q: What are the factor combinations of the number 20,627,263?

 A:
Positive:   1 x 2062726389 x 231767227 x 908691021 x 20203
Negative: -1 x -20627263-89 x -231767-227 x -90869-1021 x -20203


How do I find the factor combinations of the number 20,627,263?

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 20,627,263, 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 20,627,263
-1 -20,627,263

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 20,627,263.

Example:
1 x 20,627,263 = 20,627,263
and
-1 x -20,627,263 = 20,627,263
Notice both answers equal 20,627,263

With that explanation out of the way, let's continue. Next, we take the number 20,627,263 and divide it by 2:

20,627,263 ÷ 2 = 10,313,631.5

If the quotient is a whole number, then 2 and 10,313,631.5 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 20,627,263
-1 -20,627,263

Now, we try dividing 20,627,263 by 3:

20,627,263 ÷ 3 = 6,875,754.3333

If the quotient is a whole number, then 3 and 6,875,754.3333 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 20,627,263
-1 -20,627,263

Let's try dividing by 4:

20,627,263 ÷ 4 = 5,156,815.75

If the quotient is a whole number, then 4 and 5,156,815.75 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 20,627,263
-1 20,627,263
Keep dividing by the next highest number until you cannot divide anymore.

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

1892271,02120,20390,869231,76720,627,263
-1-89-227-1,021-20,203-90,869-231,767-20,627,263

More Examples

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