Q: What are the factor combinations of the number 13,150,709?

 A:
Positive:   1 x 1315070911 x 119551913 x 101159341 x 320749143 x 91963451 x 29159533 x 246732243 x 5863
Negative: -1 x -13150709-11 x -1195519-13 x -1011593-41 x -320749-143 x -91963-451 x -29159-533 x -24673-2243 x -5863


How do I find the factor combinations of the number 13,150,709?

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 13,150,709, 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 13,150,709
-1 -13,150,709

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 13,150,709.

Example:
1 x 13,150,709 = 13,150,709
and
-1 x -13,150,709 = 13,150,709
Notice both answers equal 13,150,709

With that explanation out of the way, let's continue. Next, we take the number 13,150,709 and divide it by 2:

13,150,709 ÷ 2 = 6,575,354.5

If the quotient is a whole number, then 2 and 6,575,354.5 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 13,150,709
-1 -13,150,709

Now, we try dividing 13,150,709 by 3:

13,150,709 ÷ 3 = 4,383,569.6667

If the quotient is a whole number, then 3 and 4,383,569.6667 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 13,150,709
-1 -13,150,709

Let's try dividing by 4:

13,150,709 ÷ 4 = 3,287,677.25

If the quotient is a whole number, then 4 and 3,287,677.25 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 13,150,709
-1 13,150,709
Keep dividing by the next highest number until you cannot divide anymore.

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

11113411434515332,2435,86324,67329,15991,963320,7491,011,5931,195,51913,150,709
-1-11-13-41-143-451-533-2,243-5,863-24,673-29,159-91,963-320,749-1,011,593-1,195,519-13,150,709

More Examples

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