Q: What are the factor combinations of the number 21,032,639?

 A:
Positive:   1 x 2103263919 x 1106981151 x 1392892869 x 7331
Negative: -1 x -21032639-19 x -1106981-151 x -139289-2869 x -7331


How do I find the factor combinations of the number 21,032,639?

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 21,032,639, 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 21,032,639
-1 -21,032,639

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 21,032,639.

Example:
1 x 21,032,639 = 21,032,639
and
-1 x -21,032,639 = 21,032,639
Notice both answers equal 21,032,639

With that explanation out of the way, let's continue. Next, we take the number 21,032,639 and divide it by 2:

21,032,639 ÷ 2 = 10,516,319.5

If the quotient is a whole number, then 2 and 10,516,319.5 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 21,032,639
-1 -21,032,639

Now, we try dividing 21,032,639 by 3:

21,032,639 ÷ 3 = 7,010,879.6667

If the quotient is a whole number, then 3 and 7,010,879.6667 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 21,032,639
-1 -21,032,639

Let's try dividing by 4:

21,032,639 ÷ 4 = 5,258,159.75

If the quotient is a whole number, then 4 and 5,258,159.75 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 21,032,639
-1 21,032,639
Keep dividing by the next highest number until you cannot divide anymore.

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

1191512,8697,331139,2891,106,98121,032,639
-1-19-151-2,869-7,331-139,289-1,106,981-21,032,639

More Examples

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