Q: What are the factor combinations of the number 11,717,015?

 A:
Positive:   1 x 117170155 x 234340319 x 61668529 x 40403595 x 123337145 x 80807551 x 212652755 x 4253
Negative: -1 x -11717015-5 x -2343403-19 x -616685-29 x -404035-95 x -123337-145 x -80807-551 x -21265-2755 x -4253


How do I find the factor combinations of the number 11,717,015?

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 11,717,015, 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 11,717,015
-1 -11,717,015

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 11,717,015.

Example:
1 x 11,717,015 = 11,717,015
and
-1 x -11,717,015 = 11,717,015
Notice both answers equal 11,717,015

With that explanation out of the way, let's continue. Next, we take the number 11,717,015 and divide it by 2:

11,717,015 ÷ 2 = 5,858,507.5

If the quotient is a whole number, then 2 and 5,858,507.5 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 11,717,015
-1 -11,717,015

Now, we try dividing 11,717,015 by 3:

11,717,015 ÷ 3 = 3,905,671.6667

If the quotient is a whole number, then 3 and 3,905,671.6667 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 11,717,015
-1 -11,717,015

Let's try dividing by 4:

11,717,015 ÷ 4 = 2,929,253.75

If the quotient is a whole number, then 4 and 2,929,253.75 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 11,717,015
-1 11,717,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151929951455512,7554,25321,26580,807123,337404,035616,6852,343,40311,717,015
-1-5-19-29-95-145-551-2,755-4,253-21,265-80,807-123,337-404,035-616,685-2,343,403-11,717,015

More Examples

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