Q: What are the factor combinations of the number 13,320,203?

 A:
Positive:   1 x 1332020313 x 102463141 x 32488367 x 198809373 x 35711533 x 24991871 x 152932747 x 4849
Negative: -1 x -13320203-13 x -1024631-41 x -324883-67 x -198809-373 x -35711-533 x -24991-871 x -15293-2747 x -4849


How do I find the factor combinations of the number 13,320,203?

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 13,320,203, 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 13,320,203
-1 -13,320,203

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 13,320,203.

Example:
1 x 13,320,203 = 13,320,203
and
-1 x -13,320,203 = 13,320,203
Notice both answers equal 13,320,203

With that explanation out of the way, let's continue. Next, we take the number 13,320,203 and divide it by 2:

13,320,203 ÷ 2 = 6,660,101.5

If the quotient is a whole number, then 2 and 6,660,101.5 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 13,320,203
-1 -13,320,203

Now, we try dividing 13,320,203 by 3:

13,320,203 ÷ 3 = 4,440,067.6667

If the quotient is a whole number, then 3 and 4,440,067.6667 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 13,320,203
-1 -13,320,203

Let's try dividing by 4:

13,320,203 ÷ 4 = 3,330,050.75

If the quotient is a whole number, then 4 and 3,330,050.75 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 13,320,203
-1 13,320,203
Keep dividing by the next highest number until you cannot divide anymore.

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

11341673735338712,7474,84915,29324,99135,711198,809324,8831,024,63113,320,203
-1-13-41-67-373-533-871-2,747-4,849-15,293-24,991-35,711-198,809-324,883-1,024,631-13,320,203

More Examples

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