Q: What are the factor combinations of the number 745,417?
A:
Positive:
1 x 745417137 x 5441
Negative:
-1 x -745417-137 x -5441
A:
Positive:
1 x 745417137 x 5441
Negative:
-1 x -745417-137 x -5441
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 745,417, 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 | 745,417 | |
-1 | -745,417 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 745,417.
Example:
1 x 745,417 = 745,417
and
-1 x -745,417 = 745,417
Notice both answers equal 745,417
With that explanation out of the way, let's continue. Next, we take the number 745,417 and divide it by 2:
745,417 ÷ 2 = 372,708.5
If the quotient is a whole number, then 2 and 372,708.5 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 | 745,417 | |
-1 | -745,417 |
Now, we try dividing 745,417 by 3:
745,417 ÷ 3 = 248,472.3333
If the quotient is a whole number, then 3 and 248,472.3333 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 | 745,417 | |
-1 | -745,417 |
Let's try dividing by 4:
745,417 ÷ 4 = 186,354.25
If the quotient is a whole number, then 4 and 186,354.25 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 | 745,417 | |
-1 | 745,417 |
If you did it right, you will end up with this table:
1 | 137 | 5,441 | 745,417 |
-1 | -137 | -5,441 | -745,417 |
Here are some more numbers to try:
Try the factor calculator