Q: What are the factor combinations of the number 562,489?
A:
Positive:
1 x 56248953 x 10613
Negative:
-1 x -562489-53 x -10613
A:
Positive:
1 x 56248953 x 10613
Negative:
-1 x -562489-53 x -10613
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 562,489, 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 | 562,489 | |
-1 | -562,489 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 562,489.
Example:
1 x 562,489 = 562,489
and
-1 x -562,489 = 562,489
Notice both answers equal 562,489
With that explanation out of the way, let's continue. Next, we take the number 562,489 and divide it by 2:
562,489 ÷ 2 = 281,244.5
If the quotient is a whole number, then 2 and 281,244.5 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 | 562,489 | |
-1 | -562,489 |
Now, we try dividing 562,489 by 3:
562,489 ÷ 3 = 187,496.3333
If the quotient is a whole number, then 3 and 187,496.3333 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 | 562,489 | |
-1 | -562,489 |
Let's try dividing by 4:
562,489 ÷ 4 = 140,622.25
If the quotient is a whole number, then 4 and 140,622.25 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 | 562,489 | |
-1 | 562,489 |
If you did it right, you will end up with this table:
1 | 53 | 10,613 | 562,489 |
-1 | -53 | -10,613 | -562,489 |
Here are some more numbers to try:
Try the factor calculator