Q: What are the factor combinations of the number 9,036,965?

 A:
Positive:   1 x 90369655 x 18073937 x 129099531 x 29151535 x 258199155 x 58303217 x 416451085 x 8329
Negative: -1 x -9036965-5 x -1807393-7 x -1290995-31 x -291515-35 x -258199-155 x -58303-217 x -41645-1085 x -8329


How do I find the factor combinations of the number 9,036,965?

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 9,036,965, 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 9,036,965
-1 -9,036,965

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 9,036,965.

Example:
1 x 9,036,965 = 9,036,965
and
-1 x -9,036,965 = 9,036,965
Notice both answers equal 9,036,965

With that explanation out of the way, let's continue. Next, we take the number 9,036,965 and divide it by 2:

9,036,965 ÷ 2 = 4,518,482.5

If the quotient is a whole number, then 2 and 4,518,482.5 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 9,036,965
-1 -9,036,965

Now, we try dividing 9,036,965 by 3:

9,036,965 ÷ 3 = 3,012,321.6667

If the quotient is a whole number, then 3 and 3,012,321.6667 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 9,036,965
-1 -9,036,965

Let's try dividing by 4:

9,036,965 ÷ 4 = 2,259,241.25

If the quotient is a whole number, then 4 and 2,259,241.25 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 9,036,965
-1 9,036,965
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,0858,32941,64558,303258,199291,5151,290,9951,807,3939,036,965
-1-5-7-31-35-155-217-1,085-8,329-41,645-58,303-258,199-291,515-1,290,995-1,807,393-9,036,965

More Examples

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