Q: What are the factor combinations of the number 763,373?
A:
Positive:
1 x 76337313 x 58721169 x 4517
Negative:
-1 x -763373-13 x -58721-169 x -4517
A:
Positive:
1 x 76337313 x 58721169 x 4517
Negative:
-1 x -763373-13 x -58721-169 x -4517
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 763,373, 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 | 763,373 | |
-1 | -763,373 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 763,373.
Example:
1 x 763,373 = 763,373
and
-1 x -763,373 = 763,373
Notice both answers equal 763,373
With that explanation out of the way, let's continue. Next, we take the number 763,373 and divide it by 2:
763,373 ÷ 2 = 381,686.5
If the quotient is a whole number, then 2 and 381,686.5 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 | 763,373 | |
-1 | -763,373 |
Now, we try dividing 763,373 by 3:
763,373 ÷ 3 = 254,457.6667
If the quotient is a whole number, then 3 and 254,457.6667 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 | 763,373 | |
-1 | -763,373 |
Let's try dividing by 4:
763,373 ÷ 4 = 190,843.25
If the quotient is a whole number, then 4 and 190,843.25 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 | 763,373 | |
-1 | 763,373 |
If you did it right, you will end up with this table:
1 | 13 | 169 | 4,517 | 58,721 | 763,373 |
-1 | -13 | -169 | -4,517 | -58,721 | -763,373 |
Here are some more numbers to try:
Try the factor calculator