Q: What are the factor combinations of the number 439,579?
A:
Positive:
1 x 4395797 x 6279749 x 8971
Negative:
-1 x -439579-7 x -62797-49 x -8971
A:
Positive:
1 x 4395797 x 6279749 x 8971
Negative:
-1 x -439579-7 x -62797-49 x -8971
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 439,579, 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 | 439,579 | |
-1 | -439,579 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 439,579.
Example:
1 x 439,579 = 439,579
and
-1 x -439,579 = 439,579
Notice both answers equal 439,579
With that explanation out of the way, let's continue. Next, we take the number 439,579 and divide it by 2:
439,579 ÷ 2 = 219,789.5
If the quotient is a whole number, then 2 and 219,789.5 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 | 439,579 | |
-1 | -439,579 |
Now, we try dividing 439,579 by 3:
439,579 ÷ 3 = 146,526.3333
If the quotient is a whole number, then 3 and 146,526.3333 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 | 439,579 | |
-1 | -439,579 |
Let's try dividing by 4:
439,579 ÷ 4 = 109,894.75
If the quotient is a whole number, then 4 and 109,894.75 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 | 439,579 | |
-1 | 439,579 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 8,971 | 62,797 | 439,579 |
-1 | -7 | -49 | -8,971 | -62,797 | -439,579 |
Here are some more numbers to try:
Try the factor calculator