Q: What are the factor combinations of the number 8,990,975?

 A:
Positive:   1 x 89909755 x 17981957 x 128442525 x 35963935 x 25688583 x 108325175 x 51377415 x 21665581 x 15475619 x 145252075 x 43332905 x 3095
Negative: -1 x -8990975-5 x -1798195-7 x -1284425-25 x -359639-35 x -256885-83 x -108325-175 x -51377-415 x -21665-581 x -15475-619 x -14525-2075 x -4333-2905 x -3095


How do I find the factor combinations of the number 8,990,975?

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 8,990,975, 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 8,990,975
-1 -8,990,975

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 8,990,975.

Example:
1 x 8,990,975 = 8,990,975
and
-1 x -8,990,975 = 8,990,975
Notice both answers equal 8,990,975

With that explanation out of the way, let's continue. Next, we take the number 8,990,975 and divide it by 2:

8,990,975 ÷ 2 = 4,495,487.5

If the quotient is a whole number, then 2 and 4,495,487.5 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 8,990,975
-1 -8,990,975

Now, we try dividing 8,990,975 by 3:

8,990,975 ÷ 3 = 2,996,991.6667

If the quotient is a whole number, then 3 and 2,996,991.6667 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 8,990,975
-1 -8,990,975

Let's try dividing by 4:

8,990,975 ÷ 4 = 2,247,743.75

If the quotient is a whole number, then 4 and 2,247,743.75 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 8,990,975
-1 8,990,975
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535831754155816192,0752,9053,0954,33314,52515,47521,66551,377108,325256,885359,6391,284,4251,798,1958,990,975
-1-5-7-25-35-83-175-415-581-619-2,075-2,905-3,095-4,333-14,525-15,475-21,665-51,377-108,325-256,885-359,639-1,284,425-1,798,195-8,990,975

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