Q: What are the factor combinations of the number 116,823,343?

 A:
Positive:   1 x 1168233437 x 1668904913 x 898641119 x 614859791 x 1283773133 x 878371247 x 4729691729 x 67567
Negative: -1 x -116823343-7 x -16689049-13 x -8986411-19 x -6148597-91 x -1283773-133 x -878371-247 x -472969-1729 x -67567


How do I find the factor combinations of the number 116,823,343?

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 116,823,343, 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.

1 116,823,343
-1 -116,823,343

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 116,823,343.

Example:
1 x 116,823,343 = 116,823,343
and
-1 x -116,823,343 = 116,823,343
Notice both answers equal 116,823,343

With that explanation out of the way, let's continue. Next, we take the number 116,823,343 and divide it by 2:

116,823,343 ÷ 2 = 58,411,671.5

If the quotient is a whole number, then 2 and 58,411,671.5 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:

1 116,823,343
-1 -116,823,343

Now, we try dividing 116,823,343 by 3:

116,823,343 ÷ 3 = 38,941,114.3333

If the quotient is a whole number, then 3 and 38,941,114.3333 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:

1 116,823,343
-1 -116,823,343

Let's try dividing by 4:

116,823,343 ÷ 4 = 29,205,835.75

If the quotient is a whole number, then 4 and 29,205,835.75 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:

1 116,823,343
-1 116,823,343
Keep dividing by the next highest number until you cannot divide anymore.

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

171319911332471,72967,567472,969878,3711,283,7736,148,5978,986,41116,689,049116,823,343
-1-7-13-19-91-133-247-1,729-67,567-472,969-878,371-1,283,773-6,148,597-8,986,411-16,689,049-116,823,343

More Examples

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