Q: What are the factor combinations of the number 20,016,563?

 A:
Positive:   1 x 200165637 x 285950953 x 377671163 x 122801331 x 60473371 x 539531141 x 175432317 x 8639
Negative: -1 x -20016563-7 x -2859509-53 x -377671-163 x -122801-331 x -60473-371 x -53953-1141 x -17543-2317 x -8639


How do I find the factor combinations of the number 20,016,563?

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 20,016,563, 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 20,016,563
-1 -20,016,563

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 20,016,563.

Example:
1 x 20,016,563 = 20,016,563
and
-1 x -20,016,563 = 20,016,563
Notice both answers equal 20,016,563

With that explanation out of the way, let's continue. Next, we take the number 20,016,563 and divide it by 2:

20,016,563 ÷ 2 = 10,008,281.5

If the quotient is a whole number, then 2 and 10,008,281.5 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 20,016,563
-1 -20,016,563

Now, we try dividing 20,016,563 by 3:

20,016,563 ÷ 3 = 6,672,187.6667

If the quotient is a whole number, then 3 and 6,672,187.6667 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 20,016,563
-1 -20,016,563

Let's try dividing by 4:

20,016,563 ÷ 4 = 5,004,140.75

If the quotient is a whole number, then 4 and 5,004,140.75 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 20,016,563
-1 20,016,563
Keep dividing by the next highest number until you cannot divide anymore.

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

17531633313711,1412,3178,63917,54353,95360,473122,801377,6712,859,50920,016,563
-1-7-53-163-331-371-1,141-2,317-8,639-17,543-53,953-60,473-122,801-377,671-2,859,509-20,016,563

More Examples

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