Q: What are the factor combinations of the number 229,571?
A:
Positive:
1 x 229571173 x 1327
Negative:
-1 x -229571-173 x -1327
A:
Positive:
1 x 229571173 x 1327
Negative:
-1 x -229571-173 x -1327
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 229,571, 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 | 229,571 | |
-1 | -229,571 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 229,571.
Example:
1 x 229,571 = 229,571
and
-1 x -229,571 = 229,571
Notice both answers equal 229,571
With that explanation out of the way, let's continue. Next, we take the number 229,571 and divide it by 2:
229,571 ÷ 2 = 114,785.5
If the quotient is a whole number, then 2 and 114,785.5 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 | 229,571 | |
-1 | -229,571 |
Now, we try dividing 229,571 by 3:
229,571 ÷ 3 = 76,523.6667
If the quotient is a whole number, then 3 and 76,523.6667 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 | 229,571 | |
-1 | -229,571 |
Let's try dividing by 4:
229,571 ÷ 4 = 57,392.75
If the quotient is a whole number, then 4 and 57,392.75 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 | 229,571 | |
-1 | 229,571 |
If you did it right, you will end up with this table:
1 | 173 | 1,327 | 229,571 |
-1 | -173 | -1,327 | -229,571 |
Here are some more numbers to try:
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