Q: What are the factor combinations of the number 13,901,087?

 A:
Positive:   1 x 1390108717 x 817711
Negative: -1 x -13901087-17 x -817711


How do I find the factor combinations of the number 13,901,087?

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 13,901,087, 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 13,901,087
-1 -13,901,087

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 13,901,087.

Example:
1 x 13,901,087 = 13,901,087
and
-1 x -13,901,087 = 13,901,087
Notice both answers equal 13,901,087

With that explanation out of the way, let's continue. Next, we take the number 13,901,087 and divide it by 2:

13,901,087 ÷ 2 = 6,950,543.5

If the quotient is a whole number, then 2 and 6,950,543.5 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 13,901,087
-1 -13,901,087

Now, we try dividing 13,901,087 by 3:

13,901,087 ÷ 3 = 4,633,695.6667

If the quotient is a whole number, then 3 and 4,633,695.6667 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 13,901,087
-1 -13,901,087

Let's try dividing by 4:

13,901,087 ÷ 4 = 3,475,271.75

If the quotient is a whole number, then 4 and 3,475,271.75 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 13,901,087
-1 13,901,087
Keep dividing by the next highest number until you cannot divide anymore.

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

117817,71113,901,087
-1-17-817,711-13,901,087

More Examples

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