Q: What are the factor combinations of the number 33,796,133?

 A:
Positive:   1 x 337961337 x 482801937 x 91340949 x 689717259 x 130487343 x 985311813 x 186412663 x 12691
Negative: -1 x -33796133-7 x -4828019-37 x -913409-49 x -689717-259 x -130487-343 x -98531-1813 x -18641-2663 x -12691


How do I find the factor combinations of the number 33,796,133?

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 33,796,133, 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 33,796,133
-1 -33,796,133

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 33,796,133.

Example:
1 x 33,796,133 = 33,796,133
and
-1 x -33,796,133 = 33,796,133
Notice both answers equal 33,796,133

With that explanation out of the way, let's continue. Next, we take the number 33,796,133 and divide it by 2:

33,796,133 ÷ 2 = 16,898,066.5

If the quotient is a whole number, then 2 and 16,898,066.5 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 33,796,133
-1 -33,796,133

Now, we try dividing 33,796,133 by 3:

33,796,133 ÷ 3 = 11,265,377.6667

If the quotient is a whole number, then 3 and 11,265,377.6667 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 33,796,133
-1 -33,796,133

Let's try dividing by 4:

33,796,133 ÷ 4 = 8,449,033.25

If the quotient is a whole number, then 4 and 8,449,033.25 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 33,796,133
-1 33,796,133
Keep dividing by the next highest number until you cannot divide anymore.

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

1737492593431,8132,66312,69118,64198,531130,487689,717913,4094,828,01933,796,133
-1-7-37-49-259-343-1,813-2,663-12,691-18,641-98,531-130,487-689,717-913,409-4,828,019-33,796,133

More Examples

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