Q: What are the factor combinations of the number 59,489?
A:
Positive:
1 x 5948919 x 313131 x 1919101 x 589
Negative:
-1 x -59489-19 x -3131-31 x -1919-101 x -589
A:
Positive:
1 x 5948919 x 313131 x 1919101 x 589
Negative:
-1 x -59489-19 x -3131-31 x -1919-101 x -589
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 59,489, 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 | 59,489 | |
-1 | -59,489 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 59,489.
Example:
1 x 59,489 = 59,489
and
-1 x -59,489 = 59,489
Notice both answers equal 59,489
With that explanation out of the way, let's continue. Next, we take the number 59,489 and divide it by 2:
59,489 ÷ 2 = 29,744.5
If the quotient is a whole number, then 2 and 29,744.5 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 | 59,489 | |
-1 | -59,489 |
Now, we try dividing 59,489 by 3:
59,489 ÷ 3 = 19,829.6667
If the quotient is a whole number, then 3 and 19,829.6667 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 | 59,489 | |
-1 | -59,489 |
Let's try dividing by 4:
59,489 ÷ 4 = 14,872.25
If the quotient is a whole number, then 4 and 14,872.25 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 | 59,489 | |
-1 | 59,489 |
If you did it right, you will end up with this table:
1 | 19 | 31 | 101 | 589 | 1,919 | 3,131 | 59,489 |
-1 | -19 | -31 | -101 | -589 | -1,919 | -3,131 | -59,489 |
Here are some more numbers to try:
Try the factor calculator