Q: What are the factor combinations of the number 71,497?
A:
Positive:
1 x 7149719 x 376353 x 134971 x 1007
Negative:
-1 x -71497-19 x -3763-53 x -1349-71 x -1007
A:
Positive:
1 x 7149719 x 376353 x 134971 x 1007
Negative:
-1 x -71497-19 x -3763-53 x -1349-71 x -1007
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 71,497, 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 | 71,497 | |
-1 | -71,497 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 71,497.
Example:
1 x 71,497 = 71,497
and
-1 x -71,497 = 71,497
Notice both answers equal 71,497
With that explanation out of the way, let's continue. Next, we take the number 71,497 and divide it by 2:
71,497 ÷ 2 = 35,748.5
If the quotient is a whole number, then 2 and 35,748.5 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 | 71,497 | |
-1 | -71,497 |
Now, we try dividing 71,497 by 3:
71,497 ÷ 3 = 23,832.3333
If the quotient is a whole number, then 3 and 23,832.3333 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 | 71,497 | |
-1 | -71,497 |
Let's try dividing by 4:
71,497 ÷ 4 = 17,874.25
If the quotient is a whole number, then 4 and 17,874.25 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 | 71,497 | |
-1 | 71,497 |
If you did it right, you will end up with this table:
1 | 19 | 53 | 71 | 1,007 | 1,349 | 3,763 | 71,497 |
-1 | -19 | -53 | -71 | -1,007 | -1,349 | -3,763 | -71,497 |
Here are some more numbers to try:
Try the factor calculator