Q: What are the factor combinations of the number 636,323,033?

 A:
Positive:   1 x 63632303389 x 7149697653 x 97446110949 x 58117
Negative: -1 x -636323033-89 x -7149697-653 x -974461-10949 x -58117


How do I find the factor combinations of the number 636,323,033?

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 636,323,033, 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.

1 636,323,033
-1 -636,323,033

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 636,323,033.

Example:
1 x 636,323,033 = 636,323,033
and
-1 x -636,323,033 = 636,323,033
Notice both answers equal 636,323,033

With that explanation out of the way, let's continue. Next, we take the number 636,323,033 and divide it by 2:

636,323,033 ÷ 2 = 318,161,516.5

If the quotient is a whole number, then 2 and 318,161,516.5 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:

1 636,323,033
-1 -636,323,033

Now, we try dividing 636,323,033 by 3:

636,323,033 ÷ 3 = 212,107,677.6667

If the quotient is a whole number, then 3 and 212,107,677.6667 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:

1 636,323,033
-1 -636,323,033

Let's try dividing by 4:

636,323,033 ÷ 4 = 159,080,758.25

If the quotient is a whole number, then 4 and 159,080,758.25 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:

1 636,323,033
-1 636,323,033
Keep dividing by the next highest number until you cannot divide anymore.

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

18965310,94958,117974,4617,149,697636,323,033
-1-89-653-10,949-58,117-974,461-7,149,697-636,323,033

More Examples

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