Q: What are the factor combinations of the number 230,432,303?
A:
Positive:
1 x 23043230389 x 2589127
Negative:
-1 x -230432303-89 x -2589127
A:
Positive:
1 x 23043230389 x 2589127
Negative:
-1 x -230432303-89 x -2589127
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 230,432,303, 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 | 230,432,303 | |
-1 | -230,432,303 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 230,432,303.
Example:
1 x 230,432,303 = 230,432,303
and
-1 x -230,432,303 = 230,432,303
Notice both answers equal 230,432,303
With that explanation out of the way, let's continue. Next, we take the number 230,432,303 and divide it by 2:
230,432,303 ÷ 2 = 115,216,151.5
If the quotient is a whole number, then 2 and 115,216,151.5 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 | 230,432,303 | |
-1 | -230,432,303 |
Now, we try dividing 230,432,303 by 3:
230,432,303 ÷ 3 = 76,810,767.6667
If the quotient is a whole number, then 3 and 76,810,767.6667 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 | 230,432,303 | |
-1 | -230,432,303 |
Let's try dividing by 4:
230,432,303 ÷ 4 = 57,608,075.75
If the quotient is a whole number, then 4 and 57,608,075.75 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 | 230,432,303 | |
-1 | 230,432,303 |
If you did it right, you will end up with this table:
1 | 89 | 2,589,127 | 230,432,303 |
-1 | -89 | -2,589,127 | -230,432,303 |
Here are some more numbers to try:
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