Q: What are the factor combinations of the number 1,071,187?

 A:
Positive:   1 x 107118713 x 8239917 x 6301137 x 28951131 x 8177221 x 4847481 x 2227629 x 1703
Negative: -1 x -1071187-13 x -82399-17 x -63011-37 x -28951-131 x -8177-221 x -4847-481 x -2227-629 x -1703


How do I find the factor combinations of the number 1,071,187?

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 1,071,187, 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 1,071,187
-1 -1,071,187

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 1,071,187.

Example:
1 x 1,071,187 = 1,071,187
and
-1 x -1,071,187 = 1,071,187
Notice both answers equal 1,071,187

With that explanation out of the way, let's continue. Next, we take the number 1,071,187 and divide it by 2:

1,071,187 ÷ 2 = 535,593.5

If the quotient is a whole number, then 2 and 535,593.5 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 1,071,187
-1 -1,071,187

Now, we try dividing 1,071,187 by 3:

1,071,187 ÷ 3 = 357,062.3333

If the quotient is a whole number, then 3 and 357,062.3333 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 1,071,187
-1 -1,071,187

Let's try dividing by 4:

1,071,187 ÷ 4 = 267,796.75

If the quotient is a whole number, then 4 and 267,796.75 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 1,071,187
-1 1,071,187
Keep dividing by the next highest number until you cannot divide anymore.

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

11317371312214816291,7032,2274,8478,17728,95163,01182,3991,071,187
-1-13-17-37-131-221-481-629-1,703-2,227-4,847-8,177-28,951-63,011-82,399-1,071,187

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