Q: What are the factor combinations of the number 8,990,033?

 A:
Positive:   1 x 899003313 x 69154123 x 390871107 x 84019281 x 31993299 x 300671391 x 64632461 x 3653
Negative: -1 x -8990033-13 x -691541-23 x -390871-107 x -84019-281 x -31993-299 x -30067-1391 x -6463-2461 x -3653


How do I find the factor combinations of the number 8,990,033?

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 8,990,033, 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 8,990,033
-1 -8,990,033

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 8,990,033.

Example:
1 x 8,990,033 = 8,990,033
and
-1 x -8,990,033 = 8,990,033
Notice both answers equal 8,990,033

With that explanation out of the way, let's continue. Next, we take the number 8,990,033 and divide it by 2:

8,990,033 ÷ 2 = 4,495,016.5

If the quotient is a whole number, then 2 and 4,495,016.5 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 8,990,033
-1 -8,990,033

Now, we try dividing 8,990,033 by 3:

8,990,033 ÷ 3 = 2,996,677.6667

If the quotient is a whole number, then 3 and 2,996,677.6667 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 8,990,033
-1 -8,990,033

Let's try dividing by 4:

8,990,033 ÷ 4 = 2,247,508.25

If the quotient is a whole number, then 4 and 2,247,508.25 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 8,990,033
-1 8,990,033
Keep dividing by the next highest number until you cannot divide anymore.

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

113231072812991,3912,4613,6536,46330,06731,99384,019390,871691,5418,990,033
-1-13-23-107-281-299-1,391-2,461-3,653-6,463-30,067-31,993-84,019-390,871-691,541-8,990,033

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