Q: What are the factor combinations of the number 448,429?
A:
Positive:
1 x 448429509 x 881
Negative:
-1 x -448429-509 x -881
A:
Positive:
1 x 448429509 x 881
Negative:
-1 x -448429-509 x -881
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 448,429, 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 | 448,429 | |
-1 | -448,429 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 448,429.
Example:
1 x 448,429 = 448,429
and
-1 x -448,429 = 448,429
Notice both answers equal 448,429
With that explanation out of the way, let's continue. Next, we take the number 448,429 and divide it by 2:
448,429 ÷ 2 = 224,214.5
If the quotient is a whole number, then 2 and 224,214.5 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 | 448,429 | |
-1 | -448,429 |
Now, we try dividing 448,429 by 3:
448,429 ÷ 3 = 149,476.3333
If the quotient is a whole number, then 3 and 149,476.3333 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 | 448,429 | |
-1 | -448,429 |
Let's try dividing by 4:
448,429 ÷ 4 = 112,107.25
If the quotient is a whole number, then 4 and 112,107.25 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 | 448,429 | |
-1 | 448,429 |
If you did it right, you will end up with this table:
1 | 509 | 881 | 448,429 |
-1 | -509 | -881 | -448,429 |
Here are some more numbers to try:
Try the factor calculator