Q: What are the factor combinations of the number 188,433,007?

 A:
Positive:   1 x 1884330077 x 2691900141 x 4595927287 x 656561
Negative: -1 x -188433007-7 x -26919001-41 x -4595927-287 x -656561


How do I find the factor combinations of the number 188,433,007?

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 188,433,007, 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.

1 188,433,007
-1 -188,433,007

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 188,433,007.

Example:
1 x 188,433,007 = 188,433,007
and
-1 x -188,433,007 = 188,433,007
Notice both answers equal 188,433,007

With that explanation out of the way, let's continue. Next, we take the number 188,433,007 and divide it by 2:

188,433,007 ÷ 2 = 94,216,503.5

If the quotient is a whole number, then 2 and 94,216,503.5 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:

1 188,433,007
-1 -188,433,007

Now, we try dividing 188,433,007 by 3:

188,433,007 ÷ 3 = 62,811,002.3333

If the quotient is a whole number, then 3 and 62,811,002.3333 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:

1 188,433,007
-1 -188,433,007

Let's try dividing by 4:

188,433,007 ÷ 4 = 47,108,251.75

If the quotient is a whole number, then 4 and 47,108,251.75 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:

1 188,433,007
-1 188,433,007
Keep dividing by the next highest number until you cannot divide anymore.

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

1741287656,5614,595,92726,919,001188,433,007
-1-7-41-287-656,561-4,595,927-26,919,001-188,433,007

More Examples

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