Q: What are the factor combinations of the number 162,523,165?

 A:
Positive:   1 x 1625231655 x 325046337 x 2321759535 x 4643519647 x 2511953235 x 502394529 x 358857177 x 22645
Negative: -1 x -162523165-5 x -32504633-7 x -23217595-35 x -4643519-647 x -251195-3235 x -50239-4529 x -35885-7177 x -22645


How do I find the factor combinations of the number 162,523,165?

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 162,523,165, 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.

1 162,523,165
-1 -162,523,165

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 162,523,165.

Example:
1 x 162,523,165 = 162,523,165
and
-1 x -162,523,165 = 162,523,165
Notice both answers equal 162,523,165

With that explanation out of the way, let's continue. Next, we take the number 162,523,165 and divide it by 2:

162,523,165 ÷ 2 = 81,261,582.5

If the quotient is a whole number, then 2 and 81,261,582.5 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:

1 162,523,165
-1 -162,523,165

Now, we try dividing 162,523,165 by 3:

162,523,165 ÷ 3 = 54,174,388.3333

If the quotient is a whole number, then 3 and 54,174,388.3333 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:

1 162,523,165
-1 -162,523,165

Let's try dividing by 4:

162,523,165 ÷ 4 = 40,630,791.25

If the quotient is a whole number, then 4 and 40,630,791.25 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:

1 162,523,165
-1 162,523,165
Keep dividing by the next highest number until you cannot divide anymore.

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

157356473,2354,5297,17722,64535,88550,239251,1954,643,51923,217,59532,504,633162,523,165
-1-5-7-35-647-3,235-4,529-7,177-22,645-35,885-50,239-251,195-4,643,519-23,217,595-32,504,633-162,523,165

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