Q: What are the factor combinations of the number 59,719?
A:
Positive:
1 x 5971911 x 542961 x 97989 x 671
Negative:
-1 x -59719-11 x -5429-61 x -979-89 x -671
A:
Positive:
1 x 5971911 x 542961 x 97989 x 671
Negative:
-1 x -59719-11 x -5429-61 x -979-89 x -671
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 59,719, 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 | 59,719 | |
-1 | -59,719 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 59,719.
Example:
1 x 59,719 = 59,719
and
-1 x -59,719 = 59,719
Notice both answers equal 59,719
With that explanation out of the way, let's continue. Next, we take the number 59,719 and divide it by 2:
59,719 ÷ 2 = 29,859.5
If the quotient is a whole number, then 2 and 29,859.5 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 | 59,719 | |
-1 | -59,719 |
Now, we try dividing 59,719 by 3:
59,719 ÷ 3 = 19,906.3333
If the quotient is a whole number, then 3 and 19,906.3333 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 | 59,719 | |
-1 | -59,719 |
Let's try dividing by 4:
59,719 ÷ 4 = 14,929.75
If the quotient is a whole number, then 4 and 14,929.75 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 | 59,719 | |
-1 | 59,719 |
If you did it right, you will end up with this table:
1 | 11 | 61 | 89 | 671 | 979 | 5,429 | 59,719 |
-1 | -11 | -61 | -89 | -671 | -979 | -5,429 | -59,719 |
Here are some more numbers to try:
Try the factor calculator