Q: What are the factor combinations of the number 20,550,673?

 A:
Positive:   1 x 2055067311 x 186824313 x 1580821143 x 143711
Negative: -1 x -20550673-11 x -1868243-13 x -1580821-143 x -143711


How do I find the factor combinations of the number 20,550,673?

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 20,550,673, 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 20,550,673
-1 -20,550,673

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 20,550,673.

Example:
1 x 20,550,673 = 20,550,673
and
-1 x -20,550,673 = 20,550,673
Notice both answers equal 20,550,673

With that explanation out of the way, let's continue. Next, we take the number 20,550,673 and divide it by 2:

20,550,673 ÷ 2 = 10,275,336.5

If the quotient is a whole number, then 2 and 10,275,336.5 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 20,550,673
-1 -20,550,673

Now, we try dividing 20,550,673 by 3:

20,550,673 ÷ 3 = 6,850,224.3333

If the quotient is a whole number, then 3 and 6,850,224.3333 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 20,550,673
-1 -20,550,673

Let's try dividing by 4:

20,550,673 ÷ 4 = 5,137,668.25

If the quotient is a whole number, then 4 and 5,137,668.25 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 20,550,673
-1 20,550,673
Keep dividing by the next highest number until you cannot divide anymore.

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

11113143143,7111,580,8211,868,24320,550,673
-1-11-13-143-143,711-1,580,821-1,868,243-20,550,673

More Examples

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