Q: What are the factor combinations of the number 970,003?
A:
Positive:
1 x 97000317 x 57059
Negative:
-1 x -970003-17 x -57059
A:
Positive:
1 x 97000317 x 57059
Negative:
-1 x -970003-17 x -57059
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 970,003, 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 | 970,003 | |
-1 | -970,003 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 970,003.
Example:
1 x 970,003 = 970,003
and
-1 x -970,003 = 970,003
Notice both answers equal 970,003
With that explanation out of the way, let's continue. Next, we take the number 970,003 and divide it by 2:
970,003 ÷ 2 = 485,001.5
If the quotient is a whole number, then 2 and 485,001.5 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 | 970,003 | |
-1 | -970,003 |
Now, we try dividing 970,003 by 3:
970,003 ÷ 3 = 323,334.3333
If the quotient is a whole number, then 3 and 323,334.3333 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 | 970,003 | |
-1 | -970,003 |
Let's try dividing by 4:
970,003 ÷ 4 = 242,500.75
If the quotient is a whole number, then 4 and 242,500.75 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 | 970,003 | |
-1 | 970,003 |
If you did it right, you will end up with this table:
1 | 17 | 57,059 | 970,003 |
-1 | -17 | -57,059 | -970,003 |
Here are some more numbers to try:
Try the factor calculator