Q: What are the factor combinations of the number 10,426,075?

 A:
Positive:   1 x 104260755 x 208521511 x 94782525 x 41704331 x 33632555 x 189565155 x 67265275 x 37913341 x 30575775 x 134531223 x 85251705 x 6115
Negative: -1 x -10426075-5 x -2085215-11 x -947825-25 x -417043-31 x -336325-55 x -189565-155 x -67265-275 x -37913-341 x -30575-775 x -13453-1223 x -8525-1705 x -6115


How do I find the factor combinations of the number 10,426,075?

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 10,426,075, 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 10,426,075
-1 -10,426,075

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 10,426,075.

Example:
1 x 10,426,075 = 10,426,075
and
-1 x -10,426,075 = 10,426,075
Notice both answers equal 10,426,075

With that explanation out of the way, let's continue. Next, we take the number 10,426,075 and divide it by 2:

10,426,075 ÷ 2 = 5,213,037.5

If the quotient is a whole number, then 2 and 5,213,037.5 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 10,426,075
-1 -10,426,075

Now, we try dividing 10,426,075 by 3:

10,426,075 ÷ 3 = 3,475,358.3333

If the quotient is a whole number, then 3 and 3,475,358.3333 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 10,426,075
-1 -10,426,075

Let's try dividing by 4:

10,426,075 ÷ 4 = 2,606,518.75

If the quotient is a whole number, then 4 and 2,606,518.75 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 10,426,075
-1 10,426,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15112531551552753417751,2231,7056,1158,52513,45330,57537,91367,265189,565336,325417,043947,8252,085,21510,426,075
-1-5-11-25-31-55-155-275-341-775-1,223-1,705-6,115-8,525-13,453-30,575-37,913-67,265-189,565-336,325-417,043-947,825-2,085,215-10,426,075

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