Q: What are the factor combinations of the number 71,929?
A:
Positive:
1 x 7192911 x 653913 x 5533143 x 503
Negative:
-1 x -71929-11 x -6539-13 x -5533-143 x -503
A:
Positive:
1 x 7192911 x 653913 x 5533143 x 503
Negative:
-1 x -71929-11 x -6539-13 x -5533-143 x -503
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 71,929, 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 | 71,929 | |
-1 | -71,929 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 71,929.
Example:
1 x 71,929 = 71,929
and
-1 x -71,929 = 71,929
Notice both answers equal 71,929
With that explanation out of the way, let's continue. Next, we take the number 71,929 and divide it by 2:
71,929 ÷ 2 = 35,964.5
If the quotient is a whole number, then 2 and 35,964.5 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 | 71,929 | |
-1 | -71,929 |
Now, we try dividing 71,929 by 3:
71,929 ÷ 3 = 23,976.3333
If the quotient is a whole number, then 3 and 23,976.3333 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 | 71,929 | |
-1 | -71,929 |
Let's try dividing by 4:
71,929 ÷ 4 = 17,982.25
If the quotient is a whole number, then 4 and 17,982.25 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 | 71,929 | |
-1 | 71,929 |
If you did it right, you will end up with this table:
1 | 11 | 13 | 143 | 503 | 5,533 | 6,539 | 71,929 |
-1 | -11 | -13 | -143 | -503 | -5,533 | -6,539 | -71,929 |
Here are some more numbers to try:
Try the factor calculator