Q: What are the factor combinations of the number 162,833,027?

 A:
Positive:   1 x 1628330277 x 2326186149 x 332312397 x 1678691679 x 2398134753 x 34259
Negative: -1 x -162833027-7 x -23261861-49 x -3323123-97 x -1678691-679 x -239813-4753 x -34259


How do I find the factor combinations of the number 162,833,027?

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 162,833,027, 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.

1 162,833,027
-1 -162,833,027

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 162,833,027.

Example:
1 x 162,833,027 = 162,833,027
and
-1 x -162,833,027 = 162,833,027
Notice both answers equal 162,833,027

With that explanation out of the way, let's continue. Next, we take the number 162,833,027 and divide it by 2:

162,833,027 ÷ 2 = 81,416,513.5

If the quotient is a whole number, then 2 and 81,416,513.5 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:

1 162,833,027
-1 -162,833,027

Now, we try dividing 162,833,027 by 3:

162,833,027 ÷ 3 = 54,277,675.6667

If the quotient is a whole number, then 3 and 54,277,675.6667 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:

1 162,833,027
-1 -162,833,027

Let's try dividing by 4:

162,833,027 ÷ 4 = 40,708,256.75

If the quotient is a whole number, then 4 and 40,708,256.75 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:

1 162,833,027
-1 162,833,027
Keep dividing by the next highest number until you cannot divide anymore.

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

1749976794,75334,259239,8131,678,6913,323,12323,261,861162,833,027
-1-7-49-97-679-4,753-34,259-239,813-1,678,691-3,323,123-23,261,861-162,833,027

More Examples

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