Q: What are the factor combinations of the number 32,021,315?
A:
Positive:
1 x 320213155 x 6404263
Negative:
-1 x -32021315-5 x -6404263
A:
Positive:
1 x 320213155 x 6404263
Negative:
-1 x -32021315-5 x -6404263
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 32,021,315, 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 | 32,021,315 | |
-1 | -32,021,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 32,021,315.
Example:
1 x 32,021,315 = 32,021,315
and
-1 x -32,021,315 = 32,021,315
Notice both answers equal 32,021,315
With that explanation out of the way, let's continue. Next, we take the number 32,021,315 and divide it by 2:
32,021,315 ÷ 2 = 16,010,657.5
If the quotient is a whole number, then 2 and 16,010,657.5 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 | 32,021,315 | |
-1 | -32,021,315 |
Now, we try dividing 32,021,315 by 3:
32,021,315 ÷ 3 = 10,673,771.6667
If the quotient is a whole number, then 3 and 10,673,771.6667 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 | 32,021,315 | |
-1 | -32,021,315 |
Let's try dividing by 4:
32,021,315 ÷ 4 = 8,005,328.75
If the quotient is a whole number, then 4 and 8,005,328.75 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 | 32,021,315 | |
-1 | 32,021,315 |
If you did it right, you will end up with this table:
1 | 5 | 6,404,263 | 32,021,315 |
-1 | -5 | -6,404,263 | -32,021,315 |
Here are some more numbers to try:
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