Q: What are the factor combinations of the number 427,767,259?
A:
Positive:
1 x 4277672599209 x 46451
Negative:
-1 x -427767259-9209 x -46451
A:
Positive:
1 x 4277672599209 x 46451
Negative:
-1 x -427767259-9209 x -46451
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 427,767,259, 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 | 427,767,259 | |
-1 | -427,767,259 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 427,767,259.
Example:
1 x 427,767,259 = 427,767,259
and
-1 x -427,767,259 = 427,767,259
Notice both answers equal 427,767,259
With that explanation out of the way, let's continue. Next, we take the number 427,767,259 and divide it by 2:
427,767,259 ÷ 2 = 213,883,629.5
If the quotient is a whole number, then 2 and 213,883,629.5 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 | 427,767,259 | |
-1 | -427,767,259 |
Now, we try dividing 427,767,259 by 3:
427,767,259 ÷ 3 = 142,589,086.3333
If the quotient is a whole number, then 3 and 142,589,086.3333 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 | 427,767,259 | |
-1 | -427,767,259 |
Let's try dividing by 4:
427,767,259 ÷ 4 = 106,941,814.75
If the quotient is a whole number, then 4 and 106,941,814.75 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 | 427,767,259 | |
-1 | 427,767,259 |
If you did it right, you will end up with this table:
1 | 9,209 | 46,451 | 427,767,259 |
-1 | -9,209 | -46,451 | -427,767,259 |
Here are some more numbers to try:
Try the factor calculator