Q: What are the factor combinations of the number 489,353?
A:
Positive:
1 x 489353103 x 4751
Negative:
-1 x -489353-103 x -4751
A:
Positive:
1 x 489353103 x 4751
Negative:
-1 x -489353-103 x -4751
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 489,353, 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 | 489,353 | |
-1 | -489,353 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 489,353.
Example:
1 x 489,353 = 489,353
and
-1 x -489,353 = 489,353
Notice both answers equal 489,353
With that explanation out of the way, let's continue. Next, we take the number 489,353 and divide it by 2:
489,353 ÷ 2 = 244,676.5
If the quotient is a whole number, then 2 and 244,676.5 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 | 489,353 | |
-1 | -489,353 |
Now, we try dividing 489,353 by 3:
489,353 ÷ 3 = 163,117.6667
If the quotient is a whole number, then 3 and 163,117.6667 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 | 489,353 | |
-1 | -489,353 |
Let's try dividing by 4:
489,353 ÷ 4 = 122,338.25
If the quotient is a whole number, then 4 and 122,338.25 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 | 489,353 | |
-1 | 489,353 |
If you did it right, you will end up with this table:
1 | 103 | 4,751 | 489,353 |
-1 | -103 | -4,751 | -489,353 |
Here are some more numbers to try:
Try the factor calculator