Q: What are the factor combinations of the number 764,132,627?
A:
Positive:
1 x 76413262747 x 16258141
Negative:
-1 x -764132627-47 x -16258141
A:
Positive:
1 x 76413262747 x 16258141
Negative:
-1 x -764132627-47 x -16258141
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 764,132,627, 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 | 764,132,627 | |
-1 | -764,132,627 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 764,132,627.
Example:
1 x 764,132,627 = 764,132,627
and
-1 x -764,132,627 = 764,132,627
Notice both answers equal 764,132,627
With that explanation out of the way, let's continue. Next, we take the number 764,132,627 and divide it by 2:
764,132,627 ÷ 2 = 382,066,313.5
If the quotient is a whole number, then 2 and 382,066,313.5 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 | 764,132,627 | |
-1 | -764,132,627 |
Now, we try dividing 764,132,627 by 3:
764,132,627 ÷ 3 = 254,710,875.6667
If the quotient is a whole number, then 3 and 254,710,875.6667 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 | 764,132,627 | |
-1 | -764,132,627 |
Let's try dividing by 4:
764,132,627 ÷ 4 = 191,033,156.75
If the quotient is a whole number, then 4 and 191,033,156.75 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 | 764,132,627 | |
-1 | 764,132,627 |
If you did it right, you will end up with this table:
1 | 47 | 16,258,141 | 764,132,627 |
-1 | -47 | -16,258,141 | -764,132,627 |
Here are some more numbers to try:
Try the factor calculator