Q: What are the factor combinations of the number 292,739?
A:
Positive:
1 x 29273961 x 4799
Negative:
-1 x -292739-61 x -4799
A:
Positive:
1 x 29273961 x 4799
Negative:
-1 x -292739-61 x -4799
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 292,739, 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 | 292,739 | |
-1 | -292,739 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 292,739.
Example:
1 x 292,739 = 292,739
and
-1 x -292,739 = 292,739
Notice both answers equal 292,739
With that explanation out of the way, let's continue. Next, we take the number 292,739 and divide it by 2:
292,739 ÷ 2 = 146,369.5
If the quotient is a whole number, then 2 and 146,369.5 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 | 292,739 | |
-1 | -292,739 |
Now, we try dividing 292,739 by 3:
292,739 ÷ 3 = 97,579.6667
If the quotient is a whole number, then 3 and 97,579.6667 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 | 292,739 | |
-1 | -292,739 |
Let's try dividing by 4:
292,739 ÷ 4 = 73,184.75
If the quotient is a whole number, then 4 and 73,184.75 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 | 292,739 | |
-1 | 292,739 |
If you did it right, you will end up with this table:
1 | 61 | 4,799 | 292,739 |
-1 | -61 | -4,799 | -292,739 |
Here are some more numbers to try:
Try the factor calculator