Q: What are the factor combinations of the number 188,433,011?

 A:
Positive:   1 x 18843301113 x 1449484747 x 400921367 x 2812433611 x 308401871 x 2163413149 x 598394603 x 40937
Negative: -1 x -188433011-13 x -14494847-47 x -4009213-67 x -2812433-611 x -308401-871 x -216341-3149 x -59839-4603 x -40937


How do I find the factor combinations of the number 188,433,011?

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 188,433,011, 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.

1 188,433,011
-1 -188,433,011

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 188,433,011.

Example:
1 x 188,433,011 = 188,433,011
and
-1 x -188,433,011 = 188,433,011
Notice both answers equal 188,433,011

With that explanation out of the way, let's continue. Next, we take the number 188,433,011 and divide it by 2:

188,433,011 ÷ 2 = 94,216,505.5

If the quotient is a whole number, then 2 and 94,216,505.5 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:

1 188,433,011
-1 -188,433,011

Now, we try dividing 188,433,011 by 3:

188,433,011 ÷ 3 = 62,811,003.6667

If the quotient is a whole number, then 3 and 62,811,003.6667 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:

1 188,433,011
-1 -188,433,011

Let's try dividing by 4:

188,433,011 ÷ 4 = 47,108,252.75

If the quotient is a whole number, then 4 and 47,108,252.75 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:

1 188,433,011
-1 188,433,011
Keep dividing by the next highest number until you cannot divide anymore.

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

11347676118713,1494,60340,93759,839216,341308,4012,812,4334,009,21314,494,847188,433,011
-1-13-47-67-611-871-3,149-4,603-40,937-59,839-216,341-308,401-2,812,433-4,009,213-14,494,847-188,433,011

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