Q: What are the factor combinations of the number 439,151?
A:
Positive:
1 x 43915141 x 10711
Negative:
-1 x -439151-41 x -10711
A:
Positive:
1 x 43915141 x 10711
Negative:
-1 x -439151-41 x -10711
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 439,151, 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 | 439,151 | |
-1 | -439,151 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 439,151.
Example:
1 x 439,151 = 439,151
and
-1 x -439,151 = 439,151
Notice both answers equal 439,151
With that explanation out of the way, let's continue. Next, we take the number 439,151 and divide it by 2:
439,151 ÷ 2 = 219,575.5
If the quotient is a whole number, then 2 and 219,575.5 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 | 439,151 | |
-1 | -439,151 |
Now, we try dividing 439,151 by 3:
439,151 ÷ 3 = 146,383.6667
If the quotient is a whole number, then 3 and 146,383.6667 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 | 439,151 | |
-1 | -439,151 |
Let's try dividing by 4:
439,151 ÷ 4 = 109,787.75
If the quotient is a whole number, then 4 and 109,787.75 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 | 439,151 | |
-1 | 439,151 |
If you did it right, you will end up with this table:
1 | 41 | 10,711 | 439,151 |
-1 | -41 | -10,711 | -439,151 |
Here are some more numbers to try:
Try the factor calculator