Q: What are the factor combinations of the number 13,016,087?

 A:
Positive:   1 x 130160877 x 1859441
Negative: -1 x -13016087-7 x -1859441


How do I find the factor combinations of the number 13,016,087?

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 13,016,087, 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 13,016,087
-1 -13,016,087

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 13,016,087.

Example:
1 x 13,016,087 = 13,016,087
and
-1 x -13,016,087 = 13,016,087
Notice both answers equal 13,016,087

With that explanation out of the way, let's continue. Next, we take the number 13,016,087 and divide it by 2:

13,016,087 ÷ 2 = 6,508,043.5

If the quotient is a whole number, then 2 and 6,508,043.5 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 13,016,087
-1 -13,016,087

Now, we try dividing 13,016,087 by 3:

13,016,087 ÷ 3 = 4,338,695.6667

If the quotient is a whole number, then 3 and 4,338,695.6667 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 13,016,087
-1 -13,016,087

Let's try dividing by 4:

13,016,087 ÷ 4 = 3,254,021.75

If the quotient is a whole number, then 4 and 3,254,021.75 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 13,016,087
-1 13,016,087
Keep dividing by the next highest number until you cannot divide anymore.

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

171,859,44113,016,087
-1-7-1,859,441-13,016,087

More Examples

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