Q: What are the factor combinations of the number 562,075?
A:
Positive:
1 x 5620755 x 11241525 x 22483
Negative:
-1 x -562075-5 x -112415-25 x -22483
A:
Positive:
1 x 5620755 x 11241525 x 22483
Negative:
-1 x -562075-5 x -112415-25 x -22483
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 562,075, 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 | 562,075 | |
-1 | -562,075 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 562,075.
Example:
1 x 562,075 = 562,075
and
-1 x -562,075 = 562,075
Notice both answers equal 562,075
With that explanation out of the way, let's continue. Next, we take the number 562,075 and divide it by 2:
562,075 ÷ 2 = 281,037.5
If the quotient is a whole number, then 2 and 281,037.5 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 | 562,075 | |
-1 | -562,075 |
Now, we try dividing 562,075 by 3:
562,075 ÷ 3 = 187,358.3333
If the quotient is a whole number, then 3 and 187,358.3333 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 | 562,075 | |
-1 | -562,075 |
Let's try dividing by 4:
562,075 ÷ 4 = 140,518.75
If the quotient is a whole number, then 4 and 140,518.75 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 | 562,075 | |
-1 | 562,075 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 22,483 | 112,415 | 562,075 |
-1 | -5 | -25 | -22,483 | -112,415 | -562,075 |
Here are some more numbers to try:
Try the factor calculator