Q: What are the factor combinations of the number 6,752,947?
A:
Positive:
1 x 675294731 x 217837961 x 7027
Negative:
-1 x -6752947-31 x -217837-961 x -7027
A:
Positive:
1 x 675294731 x 217837961 x 7027
Negative:
-1 x -6752947-31 x -217837-961 x -7027
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 6,752,947, 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 | 6,752,947 | |
-1 | -6,752,947 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 6,752,947.
Example:
1 x 6,752,947 = 6,752,947
and
-1 x -6,752,947 = 6,752,947
Notice both answers equal 6,752,947
With that explanation out of the way, let's continue. Next, we take the number 6,752,947 and divide it by 2:
6,752,947 ÷ 2 = 3,376,473.5
If the quotient is a whole number, then 2 and 3,376,473.5 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 | 6,752,947 | |
-1 | -6,752,947 |
Now, we try dividing 6,752,947 by 3:
6,752,947 ÷ 3 = 2,250,982.3333
If the quotient is a whole number, then 3 and 2,250,982.3333 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 | 6,752,947 | |
-1 | -6,752,947 |
Let's try dividing by 4:
6,752,947 ÷ 4 = 1,688,236.75
If the quotient is a whole number, then 4 and 1,688,236.75 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 | 6,752,947 | |
-1 | 6,752,947 |
If you did it right, you will end up with this table:
1 | 31 | 961 | 7,027 | 217,837 | 6,752,947 |
-1 | -31 | -961 | -7,027 | -217,837 | -6,752,947 |
Here are some more numbers to try:
Try the factor calculator