Q: What are the factor combinations of the number 650,171,161?
A:
Positive:
1 x 6501711616691 x 97171
Negative:
-1 x -650171161-6691 x -97171
A:
Positive:
1 x 6501711616691 x 97171
Negative:
-1 x -650171161-6691 x -97171
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 650,171,161, it is easier to work with a table - it's called factoring from the outside in.
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 | 650,171,161 | |
-1 | -650,171,161 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 650,171,161.
Example:
1 x 650,171,161 = 650,171,161
and
-1 x -650,171,161 = 650,171,161
Notice both answers equal 650,171,161
With that explanation out of the way, let's continue. Next, we take the number 650,171,161 and divide it by 2:
650,171,161 ÷ 2 = 325,085,580.5
If the quotient is a whole number, then 2 and 325,085,580.5 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 | 650,171,161 | |
-1 | -650,171,161 |
Now, we try dividing 650,171,161 by 3:
650,171,161 ÷ 3 = 216,723,720.3333
If the quotient is a whole number, then 3 and 216,723,720.3333 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 | 650,171,161 | |
-1 | -650,171,161 |
Let's try dividing by 4:
650,171,161 ÷ 4 = 162,542,790.25
If the quotient is a whole number, then 4 and 162,542,790.25 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 | 650,171,161 | |
-1 | 650,171,161 |
If you did it right, you will end up with this table:
1 | 6,691 | 97,171 | 650,171,161 |
-1 | -6,691 | -97,171 | -650,171,161 |
Here are some more numbers to try:
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