Q: What are the factor combinations of the number 17,365,471?
A:
Positive:
1 x 173654713853 x 4507
Negative:
-1 x -17365471-3853 x -4507
A:
Positive:
1 x 173654713853 x 4507
Negative:
-1 x -17365471-3853 x -4507
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 17,365,471, 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 | 17,365,471 | |
-1 | -17,365,471 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,365,471.
Example:
1 x 17,365,471 = 17,365,471
and
-1 x -17,365,471 = 17,365,471
Notice both answers equal 17,365,471
With that explanation out of the way, let's continue. Next, we take the number 17,365,471 and divide it by 2:
17,365,471 ÷ 2 = 8,682,735.5
If the quotient is a whole number, then 2 and 8,682,735.5 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 | 17,365,471 | |
-1 | -17,365,471 |
Now, we try dividing 17,365,471 by 3:
17,365,471 ÷ 3 = 5,788,490.3333
If the quotient is a whole number, then 3 and 5,788,490.3333 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 | 17,365,471 | |
-1 | -17,365,471 |
Let's try dividing by 4:
17,365,471 ÷ 4 = 4,341,367.75
If the quotient is a whole number, then 4 and 4,341,367.75 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 | 17,365,471 | |
-1 | 17,365,471 |
If you did it right, you will end up with this table:
1 | 3,853 | 4,507 | 17,365,471 |
-1 | -3,853 | -4,507 | -17,365,471 |
Here are some more numbers to try:
Try the factor calculator