Q: What are the factor combinations of the number 915,307?
A:
Positive:
1 x 915307149 x 6143
Negative:
-1 x -915307-149 x -6143
A:
Positive:
1 x 915307149 x 6143
Negative:
-1 x -915307-149 x -6143
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 915,307, 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 | 915,307 | |
-1 | -915,307 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 915,307.
Example:
1 x 915,307 = 915,307
and
-1 x -915,307 = 915,307
Notice both answers equal 915,307
With that explanation out of the way, let's continue. Next, we take the number 915,307 and divide it by 2:
915,307 ÷ 2 = 457,653.5
If the quotient is a whole number, then 2 and 457,653.5 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 | 915,307 | |
-1 | -915,307 |
Now, we try dividing 915,307 by 3:
915,307 ÷ 3 = 305,102.3333
If the quotient is a whole number, then 3 and 305,102.3333 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 | 915,307 | |
-1 | -915,307 |
Let's try dividing by 4:
915,307 ÷ 4 = 228,826.75
If the quotient is a whole number, then 4 and 228,826.75 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 | 915,307 | |
-1 | 915,307 |
If you did it right, you will end up with this table:
1 | 149 | 6,143 | 915,307 |
-1 | -149 | -6,143 | -915,307 |
Here are some more numbers to try:
Try the factor calculator