Q: What are the factor combinations of the number 749,195?
A:
Positive:
1 x 7491955 x 149839
Negative:
-1 x -749195-5 x -149839
A:
Positive:
1 x 7491955 x 149839
Negative:
-1 x -749195-5 x -149839
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 749,195, 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 | 749,195 | |
-1 | -749,195 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 749,195.
Example:
1 x 749,195 = 749,195
and
-1 x -749,195 = 749,195
Notice both answers equal 749,195
With that explanation out of the way, let's continue. Next, we take the number 749,195 and divide it by 2:
749,195 ÷ 2 = 374,597.5
If the quotient is a whole number, then 2 and 374,597.5 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 | 749,195 | |
-1 | -749,195 |
Now, we try dividing 749,195 by 3:
749,195 ÷ 3 = 249,731.6667
If the quotient is a whole number, then 3 and 249,731.6667 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 | 749,195 | |
-1 | -749,195 |
Let's try dividing by 4:
749,195 ÷ 4 = 187,298.75
If the quotient is a whole number, then 4 and 187,298.75 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 | 749,195 | |
-1 | 749,195 |
If you did it right, you will end up with this table:
1 | 5 | 149,839 | 749,195 |
-1 | -5 | -149,839 | -749,195 |
Here are some more numbers to try:
Try the factor calculator