Q: What are the factor combinations of the number 165,112,115?

 A:
Positive:   1 x 1651121155 x 330224237 x 2358744535 x 471748949 x 3369635149 x 1108135245 x 673927745 x 2216271043 x 1583054523 x 365055215 x 316617301 x 22615
Negative: -1 x -165112115-5 x -33022423-7 x -23587445-35 x -4717489-49 x -3369635-149 x -1108135-245 x -673927-745 x -221627-1043 x -158305-4523 x -36505-5215 x -31661-7301 x -22615


How do I find the factor combinations of the number 165,112,115?

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 165,112,115, 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.

1 165,112,115
-1 -165,112,115

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 165,112,115.

Example:
1 x 165,112,115 = 165,112,115
and
-1 x -165,112,115 = 165,112,115
Notice both answers equal 165,112,115

With that explanation out of the way, let's continue. Next, we take the number 165,112,115 and divide it by 2:

165,112,115 ÷ 2 = 82,556,057.5

If the quotient is a whole number, then 2 and 82,556,057.5 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:

1 165,112,115
-1 -165,112,115

Now, we try dividing 165,112,115 by 3:

165,112,115 ÷ 3 = 55,037,371.6667

If the quotient is a whole number, then 3 and 55,037,371.6667 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:

1 165,112,115
-1 -165,112,115

Let's try dividing by 4:

165,112,115 ÷ 4 = 41,278,028.75

If the quotient is a whole number, then 4 and 41,278,028.75 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:

1 165,112,115
-1 165,112,115
Keep dividing by the next highest number until you cannot divide anymore.

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

15735491492457451,0434,5235,2157,30122,61531,66136,505158,305221,627673,9271,108,1353,369,6354,717,48923,587,44533,022,423165,112,115
-1-5-7-35-49-149-245-745-1,043-4,523-5,215-7,301-22,615-31,661-36,505-158,305-221,627-673,927-1,108,135-3,369,635-4,717,489-23,587,445-33,022,423-165,112,115

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