Q: What are the factor combinations of the number 33,500,887?

 A:
Positive:   1 x 335008877 x 478584129 x 1155203203 x 165029227 x 147581727 x 460811589 x 210835089 x 6583
Negative: -1 x -33500887-7 x -4785841-29 x -1155203-203 x -165029-227 x -147581-727 x -46081-1589 x -21083-5089 x -6583


How do I find the factor combinations of the number 33,500,887?

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 33,500,887, 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 33,500,887
-1 -33,500,887

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 33,500,887.

Example:
1 x 33,500,887 = 33,500,887
and
-1 x -33,500,887 = 33,500,887
Notice both answers equal 33,500,887

With that explanation out of the way, let's continue. Next, we take the number 33,500,887 and divide it by 2:

33,500,887 ÷ 2 = 16,750,443.5

If the quotient is a whole number, then 2 and 16,750,443.5 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 33,500,887
-1 -33,500,887

Now, we try dividing 33,500,887 by 3:

33,500,887 ÷ 3 = 11,166,962.3333

If the quotient is a whole number, then 3 and 11,166,962.3333 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 33,500,887
-1 -33,500,887

Let's try dividing by 4:

33,500,887 ÷ 4 = 8,375,221.75

If the quotient is a whole number, then 4 and 8,375,221.75 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 33,500,887
-1 33,500,887
Keep dividing by the next highest number until you cannot divide anymore.

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

17292032277271,5895,0896,58321,08346,081147,581165,0291,155,2034,785,84133,500,887
-1-7-29-203-227-727-1,589-5,089-6,583-21,083-46,081-147,581-165,029-1,155,203-4,785,841-33,500,887

More Examples

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