Q: What are the factor combinations of the number 165,667,375?

 A:
Positive:   1 x 1656673755 x 3313347525 x 6626695125 x 13253391033 x 1603751283 x 1291255165 x 320756415 x 25825
Negative: -1 x -165667375-5 x -33133475-25 x -6626695-125 x -1325339-1033 x -160375-1283 x -129125-5165 x -32075-6415 x -25825


How do I find the factor combinations of the number 165,667,375?

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 165,667,375, 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.

1 165,667,375
-1 -165,667,375

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 165,667,375.

Example:
1 x 165,667,375 = 165,667,375
and
-1 x -165,667,375 = 165,667,375
Notice both answers equal 165,667,375

With that explanation out of the way, let's continue. Next, we take the number 165,667,375 and divide it by 2:

165,667,375 ÷ 2 = 82,833,687.5

If the quotient is a whole number, then 2 and 82,833,687.5 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:

1 165,667,375
-1 -165,667,375

Now, we try dividing 165,667,375 by 3:

165,667,375 ÷ 3 = 55,222,458.3333

If the quotient is a whole number, then 3 and 55,222,458.3333 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:

1 165,667,375
-1 -165,667,375

Let's try dividing by 4:

165,667,375 ÷ 4 = 41,416,843.75

If the quotient is a whole number, then 4 and 41,416,843.75 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:

1 165,667,375
-1 165,667,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251,0331,2835,1656,41525,82532,075129,125160,3751,325,3396,626,69533,133,475165,667,375
-1-5-25-125-1,033-1,283-5,165-6,415-25,825-32,075-129,125-160,375-1,325,339-6,626,695-33,133,475-165,667,375

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