Q: What are the factor combinations of the number 26,431,165?

 A:
Positive:   1 x 264311655 x 528623367 x 394495257 x 102845307 x 86095335 x 788991285 x 205691535 x 17219
Negative: -1 x -26431165-5 x -5286233-67 x -394495-257 x -102845-307 x -86095-335 x -78899-1285 x -20569-1535 x -17219


How do I find the factor combinations of the number 26,431,165?

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 26,431,165, 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 26,431,165
-1 -26,431,165

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 26,431,165.

Example:
1 x 26,431,165 = 26,431,165
and
-1 x -26,431,165 = 26,431,165
Notice both answers equal 26,431,165

With that explanation out of the way, let's continue. Next, we take the number 26,431,165 and divide it by 2:

26,431,165 ÷ 2 = 13,215,582.5

If the quotient is a whole number, then 2 and 13,215,582.5 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 26,431,165
-1 -26,431,165

Now, we try dividing 26,431,165 by 3:

26,431,165 ÷ 3 = 8,810,388.3333

If the quotient is a whole number, then 3 and 8,810,388.3333 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 26,431,165
-1 -26,431,165

Let's try dividing by 4:

26,431,165 ÷ 4 = 6,607,791.25

If the quotient is a whole number, then 4 and 6,607,791.25 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 26,431,165
-1 26,431,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15672573073351,2851,53517,21920,56978,89986,095102,845394,4955,286,23326,431,165
-1-5-67-257-307-335-1,285-1,535-17,219-20,569-78,899-86,095-102,845-394,495-5,286,233-26,431,165

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