Q: What are the factor combinations of the number 13,316,701?

 A:
Positive:   1 x 1331670119 x 70087923 x 57898731 x 429571437 x 30473589 x 22609713 x 18677983 x 13547
Negative: -1 x -13316701-19 x -700879-23 x -578987-31 x -429571-437 x -30473-589 x -22609-713 x -18677-983 x -13547


How do I find the factor combinations of the number 13,316,701?

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 13,316,701, 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 13,316,701
-1 -13,316,701

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 13,316,701.

Example:
1 x 13,316,701 = 13,316,701
and
-1 x -13,316,701 = 13,316,701
Notice both answers equal 13,316,701

With that explanation out of the way, let's continue. Next, we take the number 13,316,701 and divide it by 2:

13,316,701 ÷ 2 = 6,658,350.5

If the quotient is a whole number, then 2 and 6,658,350.5 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 13,316,701
-1 -13,316,701

Now, we try dividing 13,316,701 by 3:

13,316,701 ÷ 3 = 4,438,900.3333

If the quotient is a whole number, then 3 and 4,438,900.3333 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 13,316,701
-1 -13,316,701

Let's try dividing by 4:

13,316,701 ÷ 4 = 3,329,175.25

If the quotient is a whole number, then 4 and 3,329,175.25 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 13,316,701
-1 13,316,701
Keep dividing by the next highest number until you cannot divide anymore.

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

119233143758971398313,54718,67722,60930,473429,571578,987700,87913,316,701
-1-19-23-31-437-589-713-983-13,547-18,677-22,609-30,473-429,571-578,987-700,879-13,316,701

More Examples

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