Q: What are the factor combinations of the number 20,037,563?

 A:
Positive:   1 x 200375637 x 286250913 x 154135131 x 64637391 x 220193217 x 92339403 x 497212821 x 7103
Negative: -1 x -20037563-7 x -2862509-13 x -1541351-31 x -646373-91 x -220193-217 x -92339-403 x -49721-2821 x -7103


How do I find the factor combinations of the number 20,037,563?

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 20,037,563, 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 20,037,563
-1 -20,037,563

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 20,037,563.

Example:
1 x 20,037,563 = 20,037,563
and
-1 x -20,037,563 = 20,037,563
Notice both answers equal 20,037,563

With that explanation out of the way, let's continue. Next, we take the number 20,037,563 and divide it by 2:

20,037,563 ÷ 2 = 10,018,781.5

If the quotient is a whole number, then 2 and 10,018,781.5 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 20,037,563
-1 -20,037,563

Now, we try dividing 20,037,563 by 3:

20,037,563 ÷ 3 = 6,679,187.6667

If the quotient is a whole number, then 3 and 6,679,187.6667 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 20,037,563
-1 -20,037,563

Let's try dividing by 4:

20,037,563 ÷ 4 = 5,009,390.75

If the quotient is a whole number, then 4 and 5,009,390.75 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 20,037,563
-1 20,037,563
Keep dividing by the next highest number until you cannot divide anymore.

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

171331912174032,8217,10349,72192,339220,193646,3731,541,3512,862,50920,037,563
-1-7-13-31-91-217-403-2,821-7,103-49,721-92,339-220,193-646,373-1,541,351-2,862,509-20,037,563

More Examples

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