Q: What are the factor combinations of the number 713,221?
A:
Positive:
1 x 71322153 x 13457
Negative:
-1 x -713221-53 x -13457
A:
Positive:
1 x 71322153 x 13457
Negative:
-1 x -713221-53 x -13457
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 713,221, 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 | 713,221 | |
-1 | -713,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 713,221.
Example:
1 x 713,221 = 713,221
and
-1 x -713,221 = 713,221
Notice both answers equal 713,221
With that explanation out of the way, let's continue. Next, we take the number 713,221 and divide it by 2:
713,221 ÷ 2 = 356,610.5
If the quotient is a whole number, then 2 and 356,610.5 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 | 713,221 | |
-1 | -713,221 |
Now, we try dividing 713,221 by 3:
713,221 ÷ 3 = 237,740.3333
If the quotient is a whole number, then 3 and 237,740.3333 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 | 713,221 | |
-1 | -713,221 |
Let's try dividing by 4:
713,221 ÷ 4 = 178,305.25
If the quotient is a whole number, then 4 and 178,305.25 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 | 713,221 | |
-1 | 713,221 |
If you did it right, you will end up with this table:
1 | 53 | 13,457 | 713,221 |
-1 | -53 | -13,457 | -713,221 |
Here are some more numbers to try:
Try the factor calculator