Q: What are the factor combinations of the number 13,213,207?

 A:
Positive:   1 x 132132077 x 188760189 x 148463127 x 104041167 x 79121623 x 21209889 x 148631169 x 11303
Negative: -1 x -13213207-7 x -1887601-89 x -148463-127 x -104041-167 x -79121-623 x -21209-889 x -14863-1169 x -11303


How do I find the factor combinations of the number 13,213,207?

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 13,213,207, 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 13,213,207
-1 -13,213,207

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 13,213,207.

Example:
1 x 13,213,207 = 13,213,207
and
-1 x -13,213,207 = 13,213,207
Notice both answers equal 13,213,207

With that explanation out of the way, let's continue. Next, we take the number 13,213,207 and divide it by 2:

13,213,207 ÷ 2 = 6,606,603.5

If the quotient is a whole number, then 2 and 6,606,603.5 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 13,213,207
-1 -13,213,207

Now, we try dividing 13,213,207 by 3:

13,213,207 ÷ 3 = 4,404,402.3333

If the quotient is a whole number, then 3 and 4,404,402.3333 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 13,213,207
-1 -13,213,207

Let's try dividing by 4:

13,213,207 ÷ 4 = 3,303,301.75

If the quotient is a whole number, then 4 and 3,303,301.75 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 13,213,207
-1 13,213,207
Keep dividing by the next highest number until you cannot divide anymore.

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

17891271676238891,16911,30314,86321,20979,121104,041148,4631,887,60113,213,207
-1-7-89-127-167-623-889-1,169-11,303-14,863-21,209-79,121-104,041-148,463-1,887,601-13,213,207

More Examples

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