Q: What are the factor combinations of the number 572,173?
A:
Positive:
1 x 5721737 x 8173949 x 11677
Negative:
-1 x -572173-7 x -81739-49 x -11677
A:
Positive:
1 x 5721737 x 8173949 x 11677
Negative:
-1 x -572173-7 x -81739-49 x -11677
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 572,173, 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 | 572,173 | |
-1 | -572,173 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 572,173.
Example:
1 x 572,173 = 572,173
and
-1 x -572,173 = 572,173
Notice both answers equal 572,173
With that explanation out of the way, let's continue. Next, we take the number 572,173 and divide it by 2:
572,173 ÷ 2 = 286,086.5
If the quotient is a whole number, then 2 and 286,086.5 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 | 572,173 | |
-1 | -572,173 |
Now, we try dividing 572,173 by 3:
572,173 ÷ 3 = 190,724.3333
If the quotient is a whole number, then 3 and 190,724.3333 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 | 572,173 | |
-1 | -572,173 |
Let's try dividing by 4:
572,173 ÷ 4 = 143,043.25
If the quotient is a whole number, then 4 and 143,043.25 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 | 572,173 | |
-1 | 572,173 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 11,677 | 81,739 | 572,173 |
-1 | -7 | -49 | -11,677 | -81,739 | -572,173 |
Here are some more numbers to try:
Try the factor calculator