Q: What are the factor combinations of the number 986,575?

 A:
Positive:   1 x 9865755 x 19731519 x 5192525 x 3946331 x 3182567 x 1472595 x 10385155 x 6365335 x 2945475 x 2077589 x 1675775 x 1273
Negative: -1 x -986575-5 x -197315-19 x -51925-25 x -39463-31 x -31825-67 x -14725-95 x -10385-155 x -6365-335 x -2945-475 x -2077-589 x -1675-775 x -1273


How do I find the factor combinations of the number 986,575?

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 986,575, 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.

1 986,575
-1 -986,575

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 986,575.

Example:
1 x 986,575 = 986,575
and
-1 x -986,575 = 986,575
Notice both answers equal 986,575

With that explanation out of the way, let's continue. Next, we take the number 986,575 and divide it by 2:

986,575 ÷ 2 = 493,287.5

If the quotient is a whole number, then 2 and 493,287.5 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:

1 986,575
-1 -986,575

Now, we try dividing 986,575 by 3:

986,575 ÷ 3 = 328,858.3333

If the quotient is a whole number, then 3 and 328,858.3333 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:

1 986,575
-1 -986,575

Let's try dividing by 4:

986,575 ÷ 4 = 246,643.75

If the quotient is a whole number, then 4 and 246,643.75 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:

1 986,575
-1 986,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1519253167951553354755897751,2731,6752,0772,9456,36510,38514,72531,82539,46351,925197,315986,575
-1-5-19-25-31-67-95-155-335-475-589-775-1,273-1,675-2,077-2,945-6,365-10,385-14,725-31,825-39,463-51,925-197,315-986,575

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