Q: What are the factor combinations of the number 735,161,711?
A:
Positive:
1 x 7351617112851 x 257861
Negative:
-1 x -735161711-2851 x -257861
A:
Positive:
1 x 7351617112851 x 257861
Negative:
-1 x -735161711-2851 x -257861
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 735,161,711, 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 | 735,161,711 | |
-1 | -735,161,711 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 735,161,711.
Example:
1 x 735,161,711 = 735,161,711
and
-1 x -735,161,711 = 735,161,711
Notice both answers equal 735,161,711
With that explanation out of the way, let's continue. Next, we take the number 735,161,711 and divide it by 2:
735,161,711 ÷ 2 = 367,580,855.5
If the quotient is a whole number, then 2 and 367,580,855.5 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 | 735,161,711 | |
-1 | -735,161,711 |
Now, we try dividing 735,161,711 by 3:
735,161,711 ÷ 3 = 245,053,903.6667
If the quotient is a whole number, then 3 and 245,053,903.6667 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 | 735,161,711 | |
-1 | -735,161,711 |
Let's try dividing by 4:
735,161,711 ÷ 4 = 183,790,427.75
If the quotient is a whole number, then 4 and 183,790,427.75 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 | 735,161,711 | |
-1 | 735,161,711 |
If you did it right, you will end up with this table:
1 | 2,851 | 257,861 | 735,161,711 |
-1 | -2,851 | -257,861 | -735,161,711 |
Here are some more numbers to try:
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