Q: What are the factor combinations of the number 75,240,973?
A:
Positive:
1 x 7524097353 x 1419641
Negative:
-1 x -75240973-53 x -1419641
A:
Positive:
1 x 7524097353 x 1419641
Negative:
-1 x -75240973-53 x -1419641
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 75,240,973, 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 | 75,240,973 | |
-1 | -75,240,973 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 75,240,973.
Example:
1 x 75,240,973 = 75,240,973
and
-1 x -75,240,973 = 75,240,973
Notice both answers equal 75,240,973
With that explanation out of the way, let's continue. Next, we take the number 75,240,973 and divide it by 2:
75,240,973 ÷ 2 = 37,620,486.5
If the quotient is a whole number, then 2 and 37,620,486.5 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 | 75,240,973 | |
-1 | -75,240,973 |
Now, we try dividing 75,240,973 by 3:
75,240,973 ÷ 3 = 25,080,324.3333
If the quotient is a whole number, then 3 and 25,080,324.3333 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 | 75,240,973 | |
-1 | -75,240,973 |
Let's try dividing by 4:
75,240,973 ÷ 4 = 18,810,243.25
If the quotient is a whole number, then 4 and 18,810,243.25 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 | 75,240,973 | |
-1 | 75,240,973 |
If you did it right, you will end up with this table:
1 | 53 | 1,419,641 | 75,240,973 |
-1 | -53 | -1,419,641 | -75,240,973 |
Here are some more numbers to try:
Try the factor calculator