Q: What are the factor combinations of the number 696,001?
A:
Positive:
1 x 696001197 x 3533
Negative:
-1 x -696001-197 x -3533
A:
Positive:
1 x 696001197 x 3533
Negative:
-1 x -696001-197 x -3533
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 696,001, 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 | 696,001 | |
-1 | -696,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 696,001.
Example:
1 x 696,001 = 696,001
and
-1 x -696,001 = 696,001
Notice both answers equal 696,001
With that explanation out of the way, let's continue. Next, we take the number 696,001 and divide it by 2:
696,001 ÷ 2 = 348,000.5
If the quotient is a whole number, then 2 and 348,000.5 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 | 696,001 | |
-1 | -696,001 |
Now, we try dividing 696,001 by 3:
696,001 ÷ 3 = 232,000.3333
If the quotient is a whole number, then 3 and 232,000.3333 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 | 696,001 | |
-1 | -696,001 |
Let's try dividing by 4:
696,001 ÷ 4 = 174,000.25
If the quotient is a whole number, then 4 and 174,000.25 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 | 696,001 | |
-1 | 696,001 |
If you did it right, you will end up with this table:
1 | 197 | 3,533 | 696,001 |
-1 | -197 | -3,533 | -696,001 |
Here are some more numbers to try:
Try the factor calculator