Q: What are the factor combinations of the number 71,545?
A:
Positive:
1 x 715455 x 1430941 x 1745205 x 349
Negative:
-1 x -71545-5 x -14309-41 x -1745-205 x -349
A:
Positive:
1 x 715455 x 1430941 x 1745205 x 349
Negative:
-1 x -71545-5 x -14309-41 x -1745-205 x -349
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 71,545, 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 | 71,545 | |
-1 | -71,545 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 71,545.
Example:
1 x 71,545 = 71,545
and
-1 x -71,545 = 71,545
Notice both answers equal 71,545
With that explanation out of the way, let's continue. Next, we take the number 71,545 and divide it by 2:
71,545 ÷ 2 = 35,772.5
If the quotient is a whole number, then 2 and 35,772.5 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 | 71,545 | |
-1 | -71,545 |
Now, we try dividing 71,545 by 3:
71,545 ÷ 3 = 23,848.3333
If the quotient is a whole number, then 3 and 23,848.3333 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 | 71,545 | |
-1 | -71,545 |
Let's try dividing by 4:
71,545 ÷ 4 = 17,886.25
If the quotient is a whole number, then 4 and 17,886.25 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 | 71,545 | |
-1 | 71,545 |
If you did it right, you will end up with this table:
1 | 5 | 41 | 205 | 349 | 1,745 | 14,309 | 71,545 |
-1 | -5 | -41 | -205 | -349 | -1,745 | -14,309 | -71,545 |
Here are some more numbers to try:
Try the factor calculator