Q: What are the factor combinations of the number 167,853,631?

 A:
Positive:   1 x 16785363111 x 1525942117 x 987374341 x 4093991187 x 897613451 x 372181697 x 2408237667 x 21893
Negative: -1 x -167853631-11 x -15259421-17 x -9873743-41 x -4093991-187 x -897613-451 x -372181-697 x -240823-7667 x -21893


How do I find the factor combinations of the number 167,853,631?

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 167,853,631, 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.

1 167,853,631
-1 -167,853,631

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 167,853,631.

Example:
1 x 167,853,631 = 167,853,631
and
-1 x -167,853,631 = 167,853,631
Notice both answers equal 167,853,631

With that explanation out of the way, let's continue. Next, we take the number 167,853,631 and divide it by 2:

167,853,631 ÷ 2 = 83,926,815.5

If the quotient is a whole number, then 2 and 83,926,815.5 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:

1 167,853,631
-1 -167,853,631

Now, we try dividing 167,853,631 by 3:

167,853,631 ÷ 3 = 55,951,210.3333

If the quotient is a whole number, then 3 and 55,951,210.3333 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:

1 167,853,631
-1 -167,853,631

Let's try dividing by 4:

167,853,631 ÷ 4 = 41,963,407.75

If the quotient is a whole number, then 4 and 41,963,407.75 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:

1 167,853,631
-1 167,853,631
Keep dividing by the next highest number until you cannot divide anymore.

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

11117411874516977,66721,893240,823372,181897,6134,093,9919,873,74315,259,421167,853,631
-1-11-17-41-187-451-697-7,667-21,893-240,823-372,181-897,613-4,093,991-9,873,743-15,259,421-167,853,631

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