Q: What are the factor combinations of the number 32,046,509?
A:
Positive:
1 x 3204650911 x 2913319
Negative:
-1 x -32046509-11 x -2913319
A:
Positive:
1 x 3204650911 x 2913319
Negative:
-1 x -32046509-11 x -2913319
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 32,046,509, 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 | 32,046,509 | |
-1 | -32,046,509 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 32,046,509.
Example:
1 x 32,046,509 = 32,046,509
and
-1 x -32,046,509 = 32,046,509
Notice both answers equal 32,046,509
With that explanation out of the way, let's continue. Next, we take the number 32,046,509 and divide it by 2:
32,046,509 ÷ 2 = 16,023,254.5
If the quotient is a whole number, then 2 and 16,023,254.5 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 | 32,046,509 | |
-1 | -32,046,509 |
Now, we try dividing 32,046,509 by 3:
32,046,509 ÷ 3 = 10,682,169.6667
If the quotient is a whole number, then 3 and 10,682,169.6667 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 | 32,046,509 | |
-1 | -32,046,509 |
Let's try dividing by 4:
32,046,509 ÷ 4 = 8,011,627.25
If the quotient is a whole number, then 4 and 8,011,627.25 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 | 32,046,509 | |
-1 | 32,046,509 |
If you did it right, you will end up with this table:
1 | 11 | 2,913,319 | 32,046,509 |
-1 | -11 | -2,913,319 | -32,046,509 |
Here are some more numbers to try:
Try the factor calculator