Q: What are the factor combinations of the number 5,075,507?
A:
Positive:
1 x 5075507349 x 14543
Negative:
-1 x -5075507-349 x -14543
A:
Positive:
1 x 5075507349 x 14543
Negative:
-1 x -5075507-349 x -14543
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 5,075,507, 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 | 5,075,507 | |
-1 | -5,075,507 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 5,075,507.
Example:
1 x 5,075,507 = 5,075,507
and
-1 x -5,075,507 = 5,075,507
Notice both answers equal 5,075,507
With that explanation out of the way, let's continue. Next, we take the number 5,075,507 and divide it by 2:
5,075,507 ÷ 2 = 2,537,753.5
If the quotient is a whole number, then 2 and 2,537,753.5 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 | 5,075,507 | |
-1 | -5,075,507 |
Now, we try dividing 5,075,507 by 3:
5,075,507 ÷ 3 = 1,691,835.6667
If the quotient is a whole number, then 3 and 1,691,835.6667 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 | 5,075,507 | |
-1 | -5,075,507 |
Let's try dividing by 4:
5,075,507 ÷ 4 = 1,268,876.75
If the quotient is a whole number, then 4 and 1,268,876.75 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 | 5,075,507 | |
-1 | 5,075,507 |
If you did it right, you will end up with this table:
1 | 349 | 14,543 | 5,075,507 |
-1 | -349 | -14,543 | -5,075,507 |
Here are some more numbers to try:
Try the factor calculator