Q: What are the factor combinations of the number 167,909,855?

 A:
Positive:   1 x 1679098555 x 3358197129 x 578999573 x 2300135145 x 1157999365 x 460027547 x 306965841 x 1996552117 x 793152735 x 613934205 x 3993110585 x 15863
Negative: -1 x -167909855-5 x -33581971-29 x -5789995-73 x -2300135-145 x -1157999-365 x -460027-547 x -306965-841 x -199655-2117 x -79315-2735 x -61393-4205 x -39931-10585 x -15863


How do I find the factor combinations of the number 167,909,855?

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 167,909,855, 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.

1 167,909,855
-1 -167,909,855

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 167,909,855.

Example:
1 x 167,909,855 = 167,909,855
and
-1 x -167,909,855 = 167,909,855
Notice both answers equal 167,909,855

With that explanation out of the way, let's continue. Next, we take the number 167,909,855 and divide it by 2:

167,909,855 ÷ 2 = 83,954,927.5

If the quotient is a whole number, then 2 and 83,954,927.5 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:

1 167,909,855
-1 -167,909,855

Now, we try dividing 167,909,855 by 3:

167,909,855 ÷ 3 = 55,969,951.6667

If the quotient is a whole number, then 3 and 55,969,951.6667 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:

1 167,909,855
-1 -167,909,855

Let's try dividing by 4:

167,909,855 ÷ 4 = 41,977,463.75

If the quotient is a whole number, then 4 and 41,977,463.75 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:

1 167,909,855
-1 167,909,855
Keep dividing by the next highest number until you cannot divide anymore.

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

1529731453655478412,1172,7354,20510,58515,86339,93161,39379,315199,655306,965460,0271,157,9992,300,1355,789,99533,581,971167,909,855
-1-5-29-73-145-365-547-841-2,117-2,735-4,205-10,585-15,863-39,931-61,393-79,315-199,655-306,965-460,027-1,157,999-2,300,135-5,789,995-33,581,971-167,909,855

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