Q: What are the factor combinations of the number 361,039?
A:
Positive:
1 x 3610397 x 51577
Negative:
-1 x -361039-7 x -51577
A:
Positive:
1 x 3610397 x 51577
Negative:
-1 x -361039-7 x -51577
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 361,039, 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 | 361,039 | |
-1 | -361,039 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 361,039.
Example:
1 x 361,039 = 361,039
and
-1 x -361,039 = 361,039
Notice both answers equal 361,039
With that explanation out of the way, let's continue. Next, we take the number 361,039 and divide it by 2:
361,039 ÷ 2 = 180,519.5
If the quotient is a whole number, then 2 and 180,519.5 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 | 361,039 | |
-1 | -361,039 |
Now, we try dividing 361,039 by 3:
361,039 ÷ 3 = 120,346.3333
If the quotient is a whole number, then 3 and 120,346.3333 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 | 361,039 | |
-1 | -361,039 |
Let's try dividing by 4:
361,039 ÷ 4 = 90,259.75
If the quotient is a whole number, then 4 and 90,259.75 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 | 361,039 | |
-1 | 361,039 |
If you did it right, you will end up with this table:
1 | 7 | 51,577 | 361,039 |
-1 | -7 | -51,577 | -361,039 |
Here are some more numbers to try:
Try the factor calculator