Q: What are the factor combinations of the number 59,647?
A:
Positive:
1 x 596477 x 8521
Negative:
-1 x -59647-7 x -8521
A:
Positive:
1 x 596477 x 8521
Negative:
-1 x -59647-7 x -8521
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 59,647, 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 | 59,647 | |
-1 | -59,647 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 59,647.
Example:
1 x 59,647 = 59,647
and
-1 x -59,647 = 59,647
Notice both answers equal 59,647
With that explanation out of the way, let's continue. Next, we take the number 59,647 and divide it by 2:
59,647 ÷ 2 = 29,823.5
If the quotient is a whole number, then 2 and 29,823.5 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 | 59,647 | |
-1 | -59,647 |
Now, we try dividing 59,647 by 3:
59,647 ÷ 3 = 19,882.3333
If the quotient is a whole number, then 3 and 19,882.3333 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 | 59,647 | |
-1 | -59,647 |
Let's try dividing by 4:
59,647 ÷ 4 = 14,911.75
If the quotient is a whole number, then 4 and 14,911.75 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 | 59,647 | |
-1 | 59,647 |
If you did it right, you will end up with this table:
1 | 7 | 8,521 | 59,647 |
-1 | -7 | -8,521 | -59,647 |
Here are some more numbers to try:
Try the factor calculator