Q: What are the factor combinations of the number 693,497?
A:
Positive:
1 x 6934977 x 9907149 x 14153
Negative:
-1 x -693497-7 x -99071-49 x -14153
A:
Positive:
1 x 6934977 x 9907149 x 14153
Negative:
-1 x -693497-7 x -99071-49 x -14153
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 693,497, 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 | 693,497 | |
-1 | -693,497 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 693,497.
Example:
1 x 693,497 = 693,497
and
-1 x -693,497 = 693,497
Notice both answers equal 693,497
With that explanation out of the way, let's continue. Next, we take the number 693,497 and divide it by 2:
693,497 ÷ 2 = 346,748.5
If the quotient is a whole number, then 2 and 346,748.5 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 | 693,497 | |
-1 | -693,497 |
Now, we try dividing 693,497 by 3:
693,497 ÷ 3 = 231,165.6667
If the quotient is a whole number, then 3 and 231,165.6667 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 | 693,497 | |
-1 | -693,497 |
Let's try dividing by 4:
693,497 ÷ 4 = 173,374.25
If the quotient is a whole number, then 4 and 173,374.25 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 | 693,497 | |
-1 | 693,497 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 14,153 | 99,071 | 693,497 |
-1 | -7 | -49 | -14,153 | -99,071 | -693,497 |
Here are some more numbers to try:
Try the factor calculator