Q: What are the factor combinations of the number 264,714,131?
A:
Positive:
1 x 26471413111 x 24064921
Negative:
-1 x -264714131-11 x -24064921
A:
Positive:
1 x 26471413111 x 24064921
Negative:
-1 x -264714131-11 x -24064921
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 264,714,131, 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 | 264,714,131 | |
-1 | -264,714,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 264,714,131.
Example:
1 x 264,714,131 = 264,714,131
and
-1 x -264,714,131 = 264,714,131
Notice both answers equal 264,714,131
With that explanation out of the way, let's continue. Next, we take the number 264,714,131 and divide it by 2:
264,714,131 ÷ 2 = 132,357,065.5
If the quotient is a whole number, then 2 and 132,357,065.5 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 | 264,714,131 | |
-1 | -264,714,131 |
Now, we try dividing 264,714,131 by 3:
264,714,131 ÷ 3 = 88,238,043.6667
If the quotient is a whole number, then 3 and 88,238,043.6667 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 | 264,714,131 | |
-1 | -264,714,131 |
Let's try dividing by 4:
264,714,131 ÷ 4 = 66,178,532.75
If the quotient is a whole number, then 4 and 66,178,532.75 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 | 264,714,131 | |
-1 | 264,714,131 |
If you did it right, you will end up with this table:
1 | 11 | 24,064,921 | 264,714,131 |
-1 | -11 | -24,064,921 | -264,714,131 |
Here are some more numbers to try:
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