Q: What are the factor combinations of the number 427,561?
A:
Positive:
1 x 42756173 x 5857
Negative:
-1 x -427561-73 x -5857
A:
Positive:
1 x 42756173 x 5857
Negative:
-1 x -427561-73 x -5857
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 427,561, 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 | 427,561 | |
-1 | -427,561 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 427,561.
Example:
1 x 427,561 = 427,561
and
-1 x -427,561 = 427,561
Notice both answers equal 427,561
With that explanation out of the way, let's continue. Next, we take the number 427,561 and divide it by 2:
427,561 ÷ 2 = 213,780.5
If the quotient is a whole number, then 2 and 213,780.5 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 | 427,561 | |
-1 | -427,561 |
Now, we try dividing 427,561 by 3:
427,561 ÷ 3 = 142,520.3333
If the quotient is a whole number, then 3 and 142,520.3333 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 | 427,561 | |
-1 | -427,561 |
Let's try dividing by 4:
427,561 ÷ 4 = 106,890.25
If the quotient is a whole number, then 4 and 106,890.25 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 | 427,561 | |
-1 | 427,561 |
If you did it right, you will end up with this table:
1 | 73 | 5,857 | 427,561 |
-1 | -73 | -5,857 | -427,561 |
Here are some more numbers to try:
Try the factor calculator