How do I find the factor combinations of the number 162,920,027?
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 162,920,027, 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 |
|
162,920,027 |
-1 |
|
-162,920,027 |
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 162,920,027.
Example:
1 x 162,920,027 = 162,920,027
and
-1 x -162,920,027 = 162,920,027
Notice both answers equal 162,920,027
With that explanation out of the way, let's continue. Next, we take the number 162,920,027 and divide it by 2:
162,920,027 ÷ 2 = 81,460,013.5
If the quotient is a whole number, then 2 and 81,460,013.5 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:
Now, we try dividing 162,920,027 by 3:
162,920,027 ÷ 3 = 54,306,675.6667
If the quotient is a whole number, then 3 and 54,306,675.6667 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:
Let's try dividing by 4:
162,920,027 ÷ 4 = 40,730,006.75
If the quotient is a whole number, then 4 and 40,730,006.75 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:
Keep dividing by the next highest number until you cannot divide anymore.
If you did it right, you will end up with this table:
More Examples
Here are some more numbers to try:
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