Q: What are the factor combinations of the number 116,633,657?

 A:
Positive:   1 x 1166336577 x 1666195137 x 3152261259 x 450323401 x 2908571123 x 1038592807 x 415517861 x 14837
Negative: -1 x -116633657-7 x -16661951-37 x -3152261-259 x -450323-401 x -290857-1123 x -103859-2807 x -41551-7861 x -14837


How do I find the factor combinations of the number 116,633,657?

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 116,633,657, 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.

1 116,633,657
-1 -116,633,657

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 116,633,657.

Example:
1 x 116,633,657 = 116,633,657
and
-1 x -116,633,657 = 116,633,657
Notice both answers equal 116,633,657

With that explanation out of the way, let's continue. Next, we take the number 116,633,657 and divide it by 2:

116,633,657 ÷ 2 = 58,316,828.5

If the quotient is a whole number, then 2 and 58,316,828.5 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:

1 116,633,657
-1 -116,633,657

Now, we try dividing 116,633,657 by 3:

116,633,657 ÷ 3 = 38,877,885.6667

If the quotient is a whole number, then 3 and 38,877,885.6667 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:

1 116,633,657
-1 -116,633,657

Let's try dividing by 4:

116,633,657 ÷ 4 = 29,158,414.25

If the quotient is a whole number, then 4 and 29,158,414.25 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:

1 116,633,657
-1 116,633,657
Keep dividing by the next highest number until you cannot divide anymore.

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

17372594011,1232,8077,86114,83741,551103,859290,857450,3233,152,26116,661,951116,633,657
-1-7-37-259-401-1,123-2,807-7,861-14,837-41,551-103,859-290,857-450,323-3,152,261-16,661,951-116,633,657

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