Q: What are the factor combinations of the number 118,541,849?

 A:
Positive:   1 x 11854184947 x 252216761 x 1943309173 x 685213239 x 4959912867 x 413478131 x 1457910553 x 11233
Negative: -1 x -118541849-47 x -2522167-61 x -1943309-173 x -685213-239 x -495991-2867 x -41347-8131 x -14579-10553 x -11233


How do I find the factor combinations of the number 118,541,849?

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 118,541,849, 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.

1 118,541,849
-1 -118,541,849

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 118,541,849.

Example:
1 x 118,541,849 = 118,541,849
and
-1 x -118,541,849 = 118,541,849
Notice both answers equal 118,541,849

With that explanation out of the way, let's continue. Next, we take the number 118,541,849 and divide it by 2:

118,541,849 ÷ 2 = 59,270,924.5

If the quotient is a whole number, then 2 and 59,270,924.5 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:

1 118,541,849
-1 -118,541,849

Now, we try dividing 118,541,849 by 3:

118,541,849 ÷ 3 = 39,513,949.6667

If the quotient is a whole number, then 3 and 39,513,949.6667 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:

1 118,541,849
-1 -118,541,849

Let's try dividing by 4:

118,541,849 ÷ 4 = 29,635,462.25

If the quotient is a whole number, then 4 and 29,635,462.25 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:

1 118,541,849
-1 118,541,849
Keep dividing by the next highest number until you cannot divide anymore.

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

147611732392,8678,13110,55311,23314,57941,347495,991685,2131,943,3092,522,167118,541,849
-1-47-61-173-239-2,867-8,131-10,553-11,233-14,579-41,347-495,991-685,213-1,943,309-2,522,167-118,541,849

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