Q: What are the factor combinations of the number 26,720,165?

 A:
Positive:   1 x 267201655 x 534403329 x 921385127 x 210395145 x 184277635 x 420791451 x 184153683 x 7255
Negative: -1 x -26720165-5 x -5344033-29 x -921385-127 x -210395-145 x -184277-635 x -42079-1451 x -18415-3683 x -7255


How do I find the factor combinations of the number 26,720,165?

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 26,720,165, 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 26,720,165
-1 -26,720,165

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 26,720,165.

Example:
1 x 26,720,165 = 26,720,165
and
-1 x -26,720,165 = 26,720,165
Notice both answers equal 26,720,165

With that explanation out of the way, let's continue. Next, we take the number 26,720,165 and divide it by 2:

26,720,165 ÷ 2 = 13,360,082.5

If the quotient is a whole number, then 2 and 13,360,082.5 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 26,720,165
-1 -26,720,165

Now, we try dividing 26,720,165 by 3:

26,720,165 ÷ 3 = 8,906,721.6667

If the quotient is a whole number, then 3 and 8,906,721.6667 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 26,720,165
-1 -26,720,165

Let's try dividing by 4:

26,720,165 ÷ 4 = 6,680,041.25

If the quotient is a whole number, then 4 and 6,680,041.25 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 26,720,165
-1 26,720,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15291271456351,4513,6837,25518,41542,079184,277210,395921,3855,344,03326,720,165
-1-5-29-127-145-635-1,451-3,683-7,255-18,415-42,079-184,277-210,395-921,385-5,344,033-26,720,165

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