Q: What are the factor combinations of the number 61,165?
A:
Positive:
1 x 611655 x 1223313 x 470565 x 941
Negative:
-1 x -61165-5 x -12233-13 x -4705-65 x -941
A:
Positive:
1 x 611655 x 1223313 x 470565 x 941
Negative:
-1 x -61165-5 x -12233-13 x -4705-65 x -941
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 61,165, 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 | 61,165 | |
-1 | -61,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 61,165.
Example:
1 x 61,165 = 61,165
and
-1 x -61,165 = 61,165
Notice both answers equal 61,165
With that explanation out of the way, let's continue. Next, we take the number 61,165 and divide it by 2:
61,165 ÷ 2 = 30,582.5
If the quotient is a whole number, then 2 and 30,582.5 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 | 61,165 | |
-1 | -61,165 |
Now, we try dividing 61,165 by 3:
61,165 ÷ 3 = 20,388.3333
If the quotient is a whole number, then 3 and 20,388.3333 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 | 61,165 | |
-1 | -61,165 |
Let's try dividing by 4:
61,165 ÷ 4 = 15,291.25
If the quotient is a whole number, then 4 and 15,291.25 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 | 61,165 | |
-1 | 61,165 |
If you did it right, you will end up with this table:
1 | 5 | 13 | 65 | 941 | 4,705 | 12,233 | 61,165 |
-1 | -5 | -13 | -65 | -941 | -4,705 | -12,233 | -61,165 |
Here are some more numbers to try:
Try the factor calculator