Q: What are the factor combinations of the number 21,513,545?

 A:
Positive:   1 x 215135455 x 430270943 x 50031547 x 457735215 x 100063235 x 915472021 x 106452129 x 10105
Negative: -1 x -21513545-5 x -4302709-43 x -500315-47 x -457735-215 x -100063-235 x -91547-2021 x -10645-2129 x -10105


How do I find the factor combinations of the number 21,513,545?

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 21,513,545, 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 21,513,545
-1 -21,513,545

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 21,513,545.

Example:
1 x 21,513,545 = 21,513,545
and
-1 x -21,513,545 = 21,513,545
Notice both answers equal 21,513,545

With that explanation out of the way, let's continue. Next, we take the number 21,513,545 and divide it by 2:

21,513,545 ÷ 2 = 10,756,772.5

If the quotient is a whole number, then 2 and 10,756,772.5 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 21,513,545
-1 -21,513,545

Now, we try dividing 21,513,545 by 3:

21,513,545 ÷ 3 = 7,171,181.6667

If the quotient is a whole number, then 3 and 7,171,181.6667 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 21,513,545
-1 -21,513,545

Let's try dividing by 4:

21,513,545 ÷ 4 = 5,378,386.25

If the quotient is a whole number, then 4 and 5,378,386.25 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 21,513,545
-1 21,513,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1543472152352,0212,12910,10510,64591,547100,063457,735500,3154,302,70921,513,545
-1-5-43-47-215-235-2,021-2,129-10,105-10,645-91,547-100,063-457,735-500,315-4,302,709-21,513,545

More Examples

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