Q: What are the factor combinations of the number 290,639?
A:
Positive:
1 x 290639509 x 571
Negative:
-1 x -290639-509 x -571
A:
Positive:
1 x 290639509 x 571
Negative:
-1 x -290639-509 x -571
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 290,639, 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 | 290,639 | |
-1 | -290,639 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 290,639.
Example:
1 x 290,639 = 290,639
and
-1 x -290,639 = 290,639
Notice both answers equal 290,639
With that explanation out of the way, let's continue. Next, we take the number 290,639 and divide it by 2:
290,639 ÷ 2 = 145,319.5
If the quotient is a whole number, then 2 and 145,319.5 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 | 290,639 | |
-1 | -290,639 |
Now, we try dividing 290,639 by 3:
290,639 ÷ 3 = 96,879.6667
If the quotient is a whole number, then 3 and 96,879.6667 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 | 290,639 | |
-1 | -290,639 |
Let's try dividing by 4:
290,639 ÷ 4 = 72,659.75
If the quotient is a whole number, then 4 and 72,659.75 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 | 290,639 | |
-1 | 290,639 |
If you did it right, you will end up with this table:
1 | 509 | 571 | 290,639 |
-1 | -509 | -571 | -290,639 |
Here are some more numbers to try:
Try the factor calculator