Q: What are the factor combinations of the number 187,168,553?

 A:
Positive:   1 x 18716855311 x 1701532313 x 14397581143 x 1308871241 x 7766332651 x 706033133 x 597415431 x 34463
Negative: -1 x -187168553-11 x -17015323-13 x -14397581-143 x -1308871-241 x -776633-2651 x -70603-3133 x -59741-5431 x -34463


How do I find the factor combinations of the number 187,168,553?

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 187,168,553, 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.

1 187,168,553
-1 -187,168,553

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 187,168,553.

Example:
1 x 187,168,553 = 187,168,553
and
-1 x -187,168,553 = 187,168,553
Notice both answers equal 187,168,553

With that explanation out of the way, let's continue. Next, we take the number 187,168,553 and divide it by 2:

187,168,553 ÷ 2 = 93,584,276.5

If the quotient is a whole number, then 2 and 93,584,276.5 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:

1 187,168,553
-1 -187,168,553

Now, we try dividing 187,168,553 by 3:

187,168,553 ÷ 3 = 62,389,517.6667

If the quotient is a whole number, then 3 and 62,389,517.6667 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:

1 187,168,553
-1 -187,168,553

Let's try dividing by 4:

187,168,553 ÷ 4 = 46,792,138.25

If the quotient is a whole number, then 4 and 46,792,138.25 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:

1 187,168,553
-1 187,168,553
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432412,6513,1335,43134,46359,74170,603776,6331,308,87114,397,58117,015,323187,168,553
-1-11-13-143-241-2,651-3,133-5,431-34,463-59,741-70,603-776,633-1,308,871-14,397,581-17,015,323-187,168,553

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