Q: What are the factor combinations of the number 13,213,201?

 A:
Positive:   1 x 1321320123 x 574487139 x 950593197 x 4133
Negative: -1 x -13213201-23 x -574487-139 x -95059-3197 x -4133


How do I find the factor combinations of the number 13,213,201?

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 13,213,201, 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 13,213,201
-1 -13,213,201

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 13,213,201.

Example:
1 x 13,213,201 = 13,213,201
and
-1 x -13,213,201 = 13,213,201
Notice both answers equal 13,213,201

With that explanation out of the way, let's continue. Next, we take the number 13,213,201 and divide it by 2:

13,213,201 ÷ 2 = 6,606,600.5

If the quotient is a whole number, then 2 and 6,606,600.5 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 13,213,201
-1 -13,213,201

Now, we try dividing 13,213,201 by 3:

13,213,201 ÷ 3 = 4,404,400.3333

If the quotient is a whole number, then 3 and 4,404,400.3333 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 13,213,201
-1 -13,213,201

Let's try dividing by 4:

13,213,201 ÷ 4 = 3,303,300.25

If the quotient is a whole number, then 4 and 3,303,300.25 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 13,213,201
-1 13,213,201
Keep dividing by the next highest number until you cannot divide anymore.

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

1231393,1974,13395,059574,48713,213,201
-1-23-139-3,197-4,133-95,059-574,487-13,213,201

More Examples

Here are some more numbers to try:

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