Q: What are the factor combinations of the number 260,463,659?
A:
Positive:
1 x 260463659227 x 1147417
Negative:
-1 x -260463659-227 x -1147417
A:
Positive:
1 x 260463659227 x 1147417
Negative:
-1 x -260463659-227 x -1147417
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 260,463,659, 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 | 260,463,659 | |
-1 | -260,463,659 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 260,463,659.
Example:
1 x 260,463,659 = 260,463,659
and
-1 x -260,463,659 = 260,463,659
Notice both answers equal 260,463,659
With that explanation out of the way, let's continue. Next, we take the number 260,463,659 and divide it by 2:
260,463,659 ÷ 2 = 130,231,829.5
If the quotient is a whole number, then 2 and 130,231,829.5 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 | 260,463,659 | |
-1 | -260,463,659 |
Now, we try dividing 260,463,659 by 3:
260,463,659 ÷ 3 = 86,821,219.6667
If the quotient is a whole number, then 3 and 86,821,219.6667 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 | 260,463,659 | |
-1 | -260,463,659 |
Let's try dividing by 4:
260,463,659 ÷ 4 = 65,115,914.75
If the quotient is a whole number, then 4 and 65,115,914.75 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 | 260,463,659 | |
-1 | 260,463,659 |
If you did it right, you will end up with this table:
1 | 227 | 1,147,417 | 260,463,659 |
-1 | -227 | -1,147,417 | -260,463,659 |
Here are some more numbers to try:
Try the factor calculator