Q: What are the factor combinations of the number 162,768,655?

 A:
Positive:   1 x 1627686555 x 325537317 x 2325266535 x 46505332111 x 771052203 x 7388510555 x 1542111015 x 14777
Negative: -1 x -162768655-5 x -32553731-7 x -23252665-35 x -4650533-2111 x -77105-2203 x -73885-10555 x -15421-11015 x -14777


How do I find the factor combinations of the number 162,768,655?

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 162,768,655, 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.

1 162,768,655
-1 -162,768,655

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 162,768,655.

Example:
1 x 162,768,655 = 162,768,655
and
-1 x -162,768,655 = 162,768,655
Notice both answers equal 162,768,655

With that explanation out of the way, let's continue. Next, we take the number 162,768,655 and divide it by 2:

162,768,655 ÷ 2 = 81,384,327.5

If the quotient is a whole number, then 2 and 81,384,327.5 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:

1 162,768,655
-1 -162,768,655

Now, we try dividing 162,768,655 by 3:

162,768,655 ÷ 3 = 54,256,218.3333

If the quotient is a whole number, then 3 and 54,256,218.3333 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:

1 162,768,655
-1 -162,768,655

Let's try dividing by 4:

162,768,655 ÷ 4 = 40,692,163.75

If the quotient is a whole number, then 4 and 40,692,163.75 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:

1 162,768,655
-1 162,768,655
Keep dividing by the next highest number until you cannot divide anymore.

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

157352,1112,20310,55511,01514,77715,42173,88577,1054,650,53323,252,66532,553,731162,768,655
-1-5-7-35-2,111-2,203-10,555-11,015-14,777-15,421-73,885-77,105-4,650,533-23,252,665-32,553,731-162,768,655

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