Q: What are the factor combinations of the number 118,458,341?

 A:
Positive:   1 x 11845834173 x 16227175329 x 22229
Negative: -1 x -118458341-73 x -1622717-5329 x -22229


How do I find the factor combinations of the number 118,458,341?

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 118,458,341, 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.

1 118,458,341
-1 -118,458,341

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 118,458,341.

Example:
1 x 118,458,341 = 118,458,341
and
-1 x -118,458,341 = 118,458,341
Notice both answers equal 118,458,341

With that explanation out of the way, let's continue. Next, we take the number 118,458,341 and divide it by 2:

118,458,341 ÷ 2 = 59,229,170.5

If the quotient is a whole number, then 2 and 59,229,170.5 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:

1 118,458,341
-1 -118,458,341

Now, we try dividing 118,458,341 by 3:

118,458,341 ÷ 3 = 39,486,113.6667

If the quotient is a whole number, then 3 and 39,486,113.6667 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:

1 118,458,341
-1 -118,458,341

Let's try dividing by 4:

118,458,341 ÷ 4 = 29,614,585.25

If the quotient is a whole number, then 4 and 29,614,585.25 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:

1 118,458,341
-1 118,458,341
Keep dividing by the next highest number until you cannot divide anymore.

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

1735,32922,2291,622,717118,458,341
-1-73-5,329-22,229-1,622,717-118,458,341

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