Q: What are the factor combinations of the number 707,783,567?
A:
Positive:
1 x 70778356713217 x 53551
Negative:
-1 x -707783567-13217 x -53551
A:
Positive:
1 x 70778356713217 x 53551
Negative:
-1 x -707783567-13217 x -53551
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 707,783,567, 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 | 707,783,567 | |
-1 | -707,783,567 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 707,783,567.
Example:
1 x 707,783,567 = 707,783,567
and
-1 x -707,783,567 = 707,783,567
Notice both answers equal 707,783,567
With that explanation out of the way, let's continue. Next, we take the number 707,783,567 and divide it by 2:
707,783,567 ÷ 2 = 353,891,783.5
If the quotient is a whole number, then 2 and 353,891,783.5 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 | 707,783,567 | |
-1 | -707,783,567 |
Now, we try dividing 707,783,567 by 3:
707,783,567 ÷ 3 = 235,927,855.6667
If the quotient is a whole number, then 3 and 235,927,855.6667 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 | 707,783,567 | |
-1 | -707,783,567 |
Let's try dividing by 4:
707,783,567 ÷ 4 = 176,945,891.75
If the quotient is a whole number, then 4 and 176,945,891.75 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 | 707,783,567 | |
-1 | 707,783,567 |
If you did it right, you will end up with this table:
1 | 13,217 | 53,551 | 707,783,567 |
-1 | -13,217 | -53,551 | -707,783,567 |
Here are some more numbers to try:
Try the factor calculator