Q: What are the factor combinations of the number 33,585,865?

 A:
Positive:   1 x 335858655 x 671717323 x 146025531 x 1083415115 x 292051155 x 216683713 x 471053565 x 9421
Negative: -1 x -33585865-5 x -6717173-23 x -1460255-31 x -1083415-115 x -292051-155 x -216683-713 x -47105-3565 x -9421


How do I find the factor combinations of the number 33,585,865?

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 33,585,865, 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 33,585,865
-1 -33,585,865

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 33,585,865.

Example:
1 x 33,585,865 = 33,585,865
and
-1 x -33,585,865 = 33,585,865
Notice both answers equal 33,585,865

With that explanation out of the way, let's continue. Next, we take the number 33,585,865 and divide it by 2:

33,585,865 ÷ 2 = 16,792,932.5

If the quotient is a whole number, then 2 and 16,792,932.5 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 33,585,865
-1 -33,585,865

Now, we try dividing 33,585,865 by 3:

33,585,865 ÷ 3 = 11,195,288.3333

If the quotient is a whole number, then 3 and 11,195,288.3333 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 33,585,865
-1 -33,585,865

Let's try dividing by 4:

33,585,865 ÷ 4 = 8,396,466.25

If the quotient is a whole number, then 4 and 8,396,466.25 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 33,585,865
-1 33,585,865
Keep dividing by the next highest number until you cannot divide anymore.

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

1523311151557133,5659,42147,105216,683292,0511,083,4151,460,2556,717,17333,585,865
-1-5-23-31-115-155-713-3,565-9,421-47,105-216,683-292,051-1,083,415-1,460,255-6,717,173-33,585,865

More Examples

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