Q: What are the factor combinations of the number 117,823,265?

 A:
Positive:   1 x 1178232655 x 235646537 x 1683189535 x 3366379757 x 1556453785 x 311294447 x 264955299 x 22235
Negative: -1 x -117823265-5 x -23564653-7 x -16831895-35 x -3366379-757 x -155645-3785 x -31129-4447 x -26495-5299 x -22235


How do I find the factor combinations of the number 117,823,265?

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 117,823,265, 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.

1 117,823,265
-1 -117,823,265

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 117,823,265.

Example:
1 x 117,823,265 = 117,823,265
and
-1 x -117,823,265 = 117,823,265
Notice both answers equal 117,823,265

With that explanation out of the way, let's continue. Next, we take the number 117,823,265 and divide it by 2:

117,823,265 ÷ 2 = 58,911,632.5

If the quotient is a whole number, then 2 and 58,911,632.5 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:

1 117,823,265
-1 -117,823,265

Now, we try dividing 117,823,265 by 3:

117,823,265 ÷ 3 = 39,274,421.6667

If the quotient is a whole number, then 3 and 39,274,421.6667 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:

1 117,823,265
-1 -117,823,265

Let's try dividing by 4:

117,823,265 ÷ 4 = 29,455,816.25

If the quotient is a whole number, then 4 and 29,455,816.25 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:

1 117,823,265
-1 117,823,265
Keep dividing by the next highest number until you cannot divide anymore.

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

157357573,7854,4475,29922,23526,49531,129155,6453,366,37916,831,89523,564,653117,823,265
-1-5-7-35-757-3,785-4,447-5,299-22,235-26,495-31,129-155,645-3,366,379-16,831,895-23,564,653-117,823,265

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