Q: What are the factor combinations of the number 968,575?

 A:
Positive:   1 x 9685755 x 19371517 x 5697525 x 3874343 x 2252553 x 1827585 x 11395215 x 4505265 x 3655425 x 2279731 x 1325901 x 1075
Negative: -1 x -968575-5 x -193715-17 x -56975-25 x -38743-43 x -22525-53 x -18275-85 x -11395-215 x -4505-265 x -3655-425 x -2279-731 x -1325-901 x -1075


How do I find the factor combinations of the number 968,575?

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 968,575, 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.

1 968,575
-1 -968,575

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 968,575.

Example:
1 x 968,575 = 968,575
and
-1 x -968,575 = 968,575
Notice both answers equal 968,575

With that explanation out of the way, let's continue. Next, we take the number 968,575 and divide it by 2:

968,575 ÷ 2 = 484,287.5

If the quotient is a whole number, then 2 and 484,287.5 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:

1 968,575
-1 -968,575

Now, we try dividing 968,575 by 3:

968,575 ÷ 3 = 322,858.3333

If the quotient is a whole number, then 3 and 322,858.3333 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:

1 968,575
-1 -968,575

Let's try dividing by 4:

968,575 ÷ 4 = 242,143.75

If the quotient is a whole number, then 4 and 242,143.75 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:

1 968,575
-1 968,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1517254353852152654257319011,0751,3252,2793,6554,50511,39518,27522,52538,74356,975193,715968,575
-1-5-17-25-43-53-85-215-265-425-731-901-1,075-1,325-2,279-3,655-4,505-11,395-18,275-22,525-38,743-56,975-193,715-968,575

More Examples

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