Q: What are the factor combinations of the number 20,625,545?

 A:
Positive:   1 x 206255455 x 412510919 x 108555595 x 217111
Negative: -1 x -20625545-5 x -4125109-19 x -1085555-95 x -217111


How do I find the factor combinations of the number 20,625,545?

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 20,625,545, 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 20,625,545
-1 -20,625,545

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 20,625,545.

Example:
1 x 20,625,545 = 20,625,545
and
-1 x -20,625,545 = 20,625,545
Notice both answers equal 20,625,545

With that explanation out of the way, let's continue. Next, we take the number 20,625,545 and divide it by 2:

20,625,545 ÷ 2 = 10,312,772.5

If the quotient is a whole number, then 2 and 10,312,772.5 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 20,625,545
-1 -20,625,545

Now, we try dividing 20,625,545 by 3:

20,625,545 ÷ 3 = 6,875,181.6667

If the quotient is a whole number, then 3 and 6,875,181.6667 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 20,625,545
-1 -20,625,545

Let's try dividing by 4:

20,625,545 ÷ 4 = 5,156,386.25

If the quotient is a whole number, then 4 and 5,156,386.25 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 20,625,545
-1 20,625,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151995217,1111,085,5554,125,10920,625,545
-1-5-19-95-217,111-1,085,555-4,125,109-20,625,545

More Examples

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