Q: What are the factor combinations of the number 577,289?
A:
Positive:
1 x 577289157 x 3677
Negative:
-1 x -577289-157 x -3677
A:
Positive:
1 x 577289157 x 3677
Negative:
-1 x -577289-157 x -3677
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 577,289, 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 | 577,289 | |
-1 | -577,289 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 577,289.
Example:
1 x 577,289 = 577,289
and
-1 x -577,289 = 577,289
Notice both answers equal 577,289
With that explanation out of the way, let's continue. Next, we take the number 577,289 and divide it by 2:
577,289 ÷ 2 = 288,644.5
If the quotient is a whole number, then 2 and 288,644.5 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 | 577,289 | |
-1 | -577,289 |
Now, we try dividing 577,289 by 3:
577,289 ÷ 3 = 192,429.6667
If the quotient is a whole number, then 3 and 192,429.6667 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 | 577,289 | |
-1 | -577,289 |
Let's try dividing by 4:
577,289 ÷ 4 = 144,322.25
If the quotient is a whole number, then 4 and 144,322.25 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 | 577,289 | |
-1 | 577,289 |
If you did it right, you will end up with this table:
1 | 157 | 3,677 | 577,289 |
-1 | -157 | -3,677 | -577,289 |
Here are some more numbers to try:
Try the factor calculator