Q: What are the factor combinations of the number 20,216,513?

 A:
Positive:   1 x 2021651319 x 106402767 x 3017391273 x 15881
Negative: -1 x -20216513-19 x -1064027-67 x -301739-1273 x -15881


How do I find the factor combinations of the number 20,216,513?

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 20,216,513, 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 20,216,513
-1 -20,216,513

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 20,216,513.

Example:
1 x 20,216,513 = 20,216,513
and
-1 x -20,216,513 = 20,216,513
Notice both answers equal 20,216,513

With that explanation out of the way, let's continue. Next, we take the number 20,216,513 and divide it by 2:

20,216,513 ÷ 2 = 10,108,256.5

If the quotient is a whole number, then 2 and 10,108,256.5 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 20,216,513
-1 -20,216,513

Now, we try dividing 20,216,513 by 3:

20,216,513 ÷ 3 = 6,738,837.6667

If the quotient is a whole number, then 3 and 6,738,837.6667 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 20,216,513
-1 -20,216,513

Let's try dividing by 4:

20,216,513 ÷ 4 = 5,054,128.25

If the quotient is a whole number, then 4 and 5,054,128.25 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 20,216,513
-1 20,216,513
Keep dividing by the next highest number until you cannot divide anymore.

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

119671,27315,881301,7391,064,02720,216,513
-1-19-67-1,273-15,881-301,739-1,064,027-20,216,513

More Examples

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