Q: What are the factor combinations of the number 117,501,671?

 A:
Positive:   1 x 1175016717 x 1678595317 x 691186343 x 2732597119 x 987409301 x 390371731 x 1607415117 x 22963
Negative: -1 x -117501671-7 x -16785953-17 x -6911863-43 x -2732597-119 x -987409-301 x -390371-731 x -160741-5117 x -22963


How do I find the factor combinations of the number 117,501,671?

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 117,501,671, 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.

1 117,501,671
-1 -117,501,671

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 117,501,671.

Example:
1 x 117,501,671 = 117,501,671
and
-1 x -117,501,671 = 117,501,671
Notice both answers equal 117,501,671

With that explanation out of the way, let's continue. Next, we take the number 117,501,671 and divide it by 2:

117,501,671 ÷ 2 = 58,750,835.5

If the quotient is a whole number, then 2 and 58,750,835.5 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:

1 117,501,671
-1 -117,501,671

Now, we try dividing 117,501,671 by 3:

117,501,671 ÷ 3 = 39,167,223.6667

If the quotient is a whole number, then 3 and 39,167,223.6667 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:

1 117,501,671
-1 -117,501,671

Let's try dividing by 4:

117,501,671 ÷ 4 = 29,375,417.75

If the quotient is a whole number, then 4 and 29,375,417.75 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:

1 117,501,671
-1 117,501,671
Keep dividing by the next highest number until you cannot divide anymore.

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

1717431193017315,11722,963160,741390,371987,4092,732,5976,911,86316,785,953117,501,671
-1-7-17-43-119-301-731-5,117-22,963-160,741-390,371-987,409-2,732,597-6,911,863-16,785,953-117,501,671

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