Q: What are the factor combinations of the number 59,285?
A:
Positive:
1 x 592855 x 1185771 x 835167 x 355
Negative:
-1 x -59285-5 x -11857-71 x -835-167 x -355
A:
Positive:
1 x 592855 x 1185771 x 835167 x 355
Negative:
-1 x -59285-5 x -11857-71 x -835-167 x -355
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 59,285, 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 | 59,285 | |
-1 | -59,285 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 59,285.
Example:
1 x 59,285 = 59,285
and
-1 x -59,285 = 59,285
Notice both answers equal 59,285
With that explanation out of the way, let's continue. Next, we take the number 59,285 and divide it by 2:
59,285 ÷ 2 = 29,642.5
If the quotient is a whole number, then 2 and 29,642.5 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 | 59,285 | |
-1 | -59,285 |
Now, we try dividing 59,285 by 3:
59,285 ÷ 3 = 19,761.6667
If the quotient is a whole number, then 3 and 19,761.6667 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 | 59,285 | |
-1 | -59,285 |
Let's try dividing by 4:
59,285 ÷ 4 = 14,821.25
If the quotient is a whole number, then 4 and 14,821.25 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 | 59,285 | |
-1 | 59,285 |
If you did it right, you will end up with this table:
1 | 5 | 71 | 167 | 355 | 835 | 11,857 | 59,285 |
-1 | -5 | -71 | -167 | -355 | -835 | -11,857 | -59,285 |
Here are some more numbers to try:
Try the factor calculator