Q: What are the factor combinations of the number 61,235?
A:
Positive:
1 x 612355 x 1224737 x 1655185 x 331
Negative:
-1 x -61235-5 x -12247-37 x -1655-185 x -331
A:
Positive:
1 x 612355 x 1224737 x 1655185 x 331
Negative:
-1 x -61235-5 x -12247-37 x -1655-185 x -331
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 61,235, 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 | 61,235 | |
-1 | -61,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 61,235.
Example:
1 x 61,235 = 61,235
and
-1 x -61,235 = 61,235
Notice both answers equal 61,235
With that explanation out of the way, let's continue. Next, we take the number 61,235 and divide it by 2:
61,235 ÷ 2 = 30,617.5
If the quotient is a whole number, then 2 and 30,617.5 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 | 61,235 | |
-1 | -61,235 |
Now, we try dividing 61,235 by 3:
61,235 ÷ 3 = 20,411.6667
If the quotient is a whole number, then 3 and 20,411.6667 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 | 61,235 | |
-1 | -61,235 |
Let's try dividing by 4:
61,235 ÷ 4 = 15,308.75
If the quotient is a whole number, then 4 and 15,308.75 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 | 61,235 | |
-1 | 61,235 |
If you did it right, you will end up with this table:
1 | 5 | 37 | 185 | 331 | 1,655 | 12,247 | 61,235 |
-1 | -5 | -37 | -185 | -331 | -1,655 | -12,247 | -61,235 |
Here are some more numbers to try:
Try the factor calculator