Q: What are the factor combinations of the number 8,512,427?

 A:
Positive:   1 x 85124277 x 121606111 x 77385717 x 50073149 x 17372377 x 110551119 x 71533187 x 45521539 x 15793833 x 10219929 x 91631309 x 6503
Negative: -1 x -8512427-7 x -1216061-11 x -773857-17 x -500731-49 x -173723-77 x -110551-119 x -71533-187 x -45521-539 x -15793-833 x -10219-929 x -9163-1309 x -6503


How do I find the factor combinations of the number 8,512,427?

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 8,512,427, 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 8,512,427
-1 -8,512,427

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 8,512,427.

Example:
1 x 8,512,427 = 8,512,427
and
-1 x -8,512,427 = 8,512,427
Notice both answers equal 8,512,427

With that explanation out of the way, let's continue. Next, we take the number 8,512,427 and divide it by 2:

8,512,427 ÷ 2 = 4,256,213.5

If the quotient is a whole number, then 2 and 4,256,213.5 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 8,512,427
-1 -8,512,427

Now, we try dividing 8,512,427 by 3:

8,512,427 ÷ 3 = 2,837,475.6667

If the quotient is a whole number, then 3 and 2,837,475.6667 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 8,512,427
-1 -8,512,427

Let's try dividing by 4:

8,512,427 ÷ 4 = 2,128,106.75

If the quotient is a whole number, then 4 and 2,128,106.75 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 8,512,427
-1 8,512,427
Keep dividing by the next highest number until you cannot divide anymore.

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

17111749771191875398339291,3096,5039,16310,21915,79345,52171,533110,551173,723500,731773,8571,216,0618,512,427
-1-7-11-17-49-77-119-187-539-833-929-1,309-6,503-9,163-10,219-15,793-45,521-71,533-110,551-173,723-500,731-773,857-1,216,061-8,512,427

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