Q: What are the factor combinations of the number 73,607,131?
A:
Positive:
1 x 7360713113 x 5662087
Negative:
-1 x -73607131-13 x -5662087
A:
Positive:
1 x 7360713113 x 5662087
Negative:
-1 x -73607131-13 x -5662087
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 73,607,131, 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 | 73,607,131 | |
-1 | -73,607,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 73,607,131.
Example:
1 x 73,607,131 = 73,607,131
and
-1 x -73,607,131 = 73,607,131
Notice both answers equal 73,607,131
With that explanation out of the way, let's continue. Next, we take the number 73,607,131 and divide it by 2:
73,607,131 ÷ 2 = 36,803,565.5
If the quotient is a whole number, then 2 and 36,803,565.5 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 | 73,607,131 | |
-1 | -73,607,131 |
Now, we try dividing 73,607,131 by 3:
73,607,131 ÷ 3 = 24,535,710.3333
If the quotient is a whole number, then 3 and 24,535,710.3333 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 | 73,607,131 | |
-1 | -73,607,131 |
Let's try dividing by 4:
73,607,131 ÷ 4 = 18,401,782.75
If the quotient is a whole number, then 4 and 18,401,782.75 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 | 73,607,131 | |
-1 | 73,607,131 |
If you did it right, you will end up with this table:
1 | 13 | 5,662,087 | 73,607,131 |
-1 | -13 | -5,662,087 | -73,607,131 |
Here are some more numbers to try:
Try the factor calculator