Q: What are the factor combinations of the number 21,385,663?

 A:
Positive:   1 x 2138566313 x 164505143 x 49734167 x 319189559 x 38257571 x 37453871 x 245532881 x 7423
Negative: -1 x -21385663-13 x -1645051-43 x -497341-67 x -319189-559 x -38257-571 x -37453-871 x -24553-2881 x -7423


How do I find the factor combinations of the number 21,385,663?

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 21,385,663, 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 21,385,663
-1 -21,385,663

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 21,385,663.

Example:
1 x 21,385,663 = 21,385,663
and
-1 x -21,385,663 = 21,385,663
Notice both answers equal 21,385,663

With that explanation out of the way, let's continue. Next, we take the number 21,385,663 and divide it by 2:

21,385,663 ÷ 2 = 10,692,831.5

If the quotient is a whole number, then 2 and 10,692,831.5 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 21,385,663
-1 -21,385,663

Now, we try dividing 21,385,663 by 3:

21,385,663 ÷ 3 = 7,128,554.3333

If the quotient is a whole number, then 3 and 7,128,554.3333 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 21,385,663
-1 -21,385,663

Let's try dividing by 4:

21,385,663 ÷ 4 = 5,346,415.75

If the quotient is a whole number, then 4 and 5,346,415.75 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 21,385,663
-1 21,385,663
Keep dividing by the next highest number until you cannot divide anymore.

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

11343675595718712,8817,42324,55337,45338,257319,189497,3411,645,05121,385,663
-1-13-43-67-559-571-871-2,881-7,423-24,553-37,453-38,257-319,189-497,341-1,645,051-21,385,663

More Examples

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