Q: What are the factor combinations of the number 116,318,437?

 A:
Positive:   1 x 11631843717 x 684226119 x 6122023131 x 887927323 x 3601192227 x 522312489 x 467332749 x 42313
Negative: -1 x -116318437-17 x -6842261-19 x -6122023-131 x -887927-323 x -360119-2227 x -52231-2489 x -46733-2749 x -42313


How do I find the factor combinations of the number 116,318,437?

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 116,318,437, 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.

1 116,318,437
-1 -116,318,437

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 116,318,437.

Example:
1 x 116,318,437 = 116,318,437
and
-1 x -116,318,437 = 116,318,437
Notice both answers equal 116,318,437

With that explanation out of the way, let's continue. Next, we take the number 116,318,437 and divide it by 2:

116,318,437 ÷ 2 = 58,159,218.5

If the quotient is a whole number, then 2 and 58,159,218.5 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:

1 116,318,437
-1 -116,318,437

Now, we try dividing 116,318,437 by 3:

116,318,437 ÷ 3 = 38,772,812.3333

If the quotient is a whole number, then 3 and 38,772,812.3333 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:

1 116,318,437
-1 -116,318,437

Let's try dividing by 4:

116,318,437 ÷ 4 = 29,079,609.25

If the quotient is a whole number, then 4 and 29,079,609.25 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:

1 116,318,437
-1 116,318,437
Keep dividing by the next highest number until you cannot divide anymore.

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

117191313232,2272,4892,74942,31346,73352,231360,119887,9276,122,0236,842,261116,318,437
-1-17-19-131-323-2,227-2,489-2,749-42,313-46,733-52,231-360,119-887,927-6,122,023-6,842,261-116,318,437

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