Q: What are the factor combinations of the number 664,012,351?
A:
Positive:
1 x 6640123512861 x 232091
Negative:
-1 x -664012351-2861 x -232091
A:
Positive:
1 x 6640123512861 x 232091
Negative:
-1 x -664012351-2861 x -232091
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 664,012,351, 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 | 664,012,351 | |
-1 | -664,012,351 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 664,012,351.
Example:
1 x 664,012,351 = 664,012,351
and
-1 x -664,012,351 = 664,012,351
Notice both answers equal 664,012,351
With that explanation out of the way, let's continue. Next, we take the number 664,012,351 and divide it by 2:
664,012,351 ÷ 2 = 332,006,175.5
If the quotient is a whole number, then 2 and 332,006,175.5 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 | 664,012,351 | |
-1 | -664,012,351 |
Now, we try dividing 664,012,351 by 3:
664,012,351 ÷ 3 = 221,337,450.3333
If the quotient is a whole number, then 3 and 221,337,450.3333 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 | 664,012,351 | |
-1 | -664,012,351 |
Let's try dividing by 4:
664,012,351 ÷ 4 = 166,003,087.75
If the quotient is a whole number, then 4 and 166,003,087.75 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 | 664,012,351 | |
-1 | 664,012,351 |
If you did it right, you will end up with this table:
1 | 2,861 | 232,091 | 664,012,351 |
-1 | -2,861 | -232,091 | -664,012,351 |
Here are some more numbers to try:
Try the factor calculator