Q: What are the factor combinations of the number 118,871,837?

 A:
Positive:   1 x 1188718377 x 1698169117 x 6992461119 x 998923617 x 1926611619 x 734234319 x 2752310489 x 11333
Negative: -1 x -118871837-7 x -16981691-17 x -6992461-119 x -998923-617 x -192661-1619 x -73423-4319 x -27523-10489 x -11333


How do I find the factor combinations of the number 118,871,837?

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 118,871,837, 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.

1 118,871,837
-1 -118,871,837

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 118,871,837.

Example:
1 x 118,871,837 = 118,871,837
and
-1 x -118,871,837 = 118,871,837
Notice both answers equal 118,871,837

With that explanation out of the way, let's continue. Next, we take the number 118,871,837 and divide it by 2:

118,871,837 ÷ 2 = 59,435,918.5

If the quotient is a whole number, then 2 and 59,435,918.5 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:

1 118,871,837
-1 -118,871,837

Now, we try dividing 118,871,837 by 3:

118,871,837 ÷ 3 = 39,623,945.6667

If the quotient is a whole number, then 3 and 39,623,945.6667 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:

1 118,871,837
-1 -118,871,837

Let's try dividing by 4:

118,871,837 ÷ 4 = 29,717,959.25

If the quotient is a whole number, then 4 and 29,717,959.25 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:

1 118,871,837
-1 118,871,837
Keep dividing by the next highest number until you cannot divide anymore.

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

17171196171,6194,31910,48911,33327,52373,423192,661998,9236,992,46116,981,691118,871,837
-1-7-17-119-617-1,619-4,319-10,489-11,333-27,523-73,423-192,661-998,923-6,992,461-16,981,691-118,871,837

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