Q: What are the factor combinations of the number 61,427?
A:
Positive:
1 x 6142719 x 323353 x 115961 x 1007
Negative:
-1 x -61427-19 x -3233-53 x -1159-61 x -1007
A:
Positive:
1 x 6142719 x 323353 x 115961 x 1007
Negative:
-1 x -61427-19 x -3233-53 x -1159-61 x -1007
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 61,427, 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 | 61,427 | |
-1 | -61,427 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 61,427.
Example:
1 x 61,427 = 61,427
and
-1 x -61,427 = 61,427
Notice both answers equal 61,427
With that explanation out of the way, let's continue. Next, we take the number 61,427 and divide it by 2:
61,427 ÷ 2 = 30,713.5
If the quotient is a whole number, then 2 and 30,713.5 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 | 61,427 | |
-1 | -61,427 |
Now, we try dividing 61,427 by 3:
61,427 ÷ 3 = 20,475.6667
If the quotient is a whole number, then 3 and 20,475.6667 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 | 61,427 | |
-1 | -61,427 |
Let's try dividing by 4:
61,427 ÷ 4 = 15,356.75
If the quotient is a whole number, then 4 and 15,356.75 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 | 61,427 | |
-1 | 61,427 |
If you did it right, you will end up with this table:
1 | 19 | 53 | 61 | 1,007 | 1,159 | 3,233 | 61,427 |
-1 | -19 | -53 | -61 | -1,007 | -1,159 | -3,233 | -61,427 |
Here are some more numbers to try:
Try the factor calculator