Q: What are the factor combinations of the number 116,701,277?

 A:
Positive:   1 x 1167012777 x 1667161111 x 1060920717 x 686478177 x 1515601119 x 980683187 x 6240711309 x 89153
Negative: -1 x -116701277-7 x -16671611-11 x -10609207-17 x -6864781-77 x -1515601-119 x -980683-187 x -624071-1309 x -89153


How do I find the factor combinations of the number 116,701,277?

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 116,701,277, 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.

1 116,701,277
-1 -116,701,277

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 116,701,277.

Example:
1 x 116,701,277 = 116,701,277
and
-1 x -116,701,277 = 116,701,277
Notice both answers equal 116,701,277

With that explanation out of the way, let's continue. Next, we take the number 116,701,277 and divide it by 2:

116,701,277 ÷ 2 = 58,350,638.5

If the quotient is a whole number, then 2 and 58,350,638.5 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:

1 116,701,277
-1 -116,701,277

Now, we try dividing 116,701,277 by 3:

116,701,277 ÷ 3 = 38,900,425.6667

If the quotient is a whole number, then 3 and 38,900,425.6667 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:

1 116,701,277
-1 -116,701,277

Let's try dividing by 4:

116,701,277 ÷ 4 = 29,175,319.25

If the quotient is a whole number, then 4 and 29,175,319.25 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:

1 116,701,277
-1 116,701,277
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,30989,153624,071980,6831,515,6016,864,78110,609,20716,671,611116,701,277
-1-7-11-17-77-119-187-1,309-89,153-624,071-980,683-1,515,601-6,864,781-10,609,207-16,671,611-116,701,277

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