Q: What are the factor combinations of the number 235,211,309?
A:
Positive:
1 x 2352113091031 x 228139
Negative:
-1 x -235211309-1031 x -228139
A:
Positive:
1 x 2352113091031 x 228139
Negative:
-1 x -235211309-1031 x -228139
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 235,211,309, 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 | 235,211,309 | |
-1 | -235,211,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,211,309.
Example:
1 x 235,211,309 = 235,211,309
and
-1 x -235,211,309 = 235,211,309
Notice both answers equal 235,211,309
With that explanation out of the way, let's continue. Next, we take the number 235,211,309 and divide it by 2:
235,211,309 ÷ 2 = 117,605,654.5
If the quotient is a whole number, then 2 and 117,605,654.5 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 | 235,211,309 | |
-1 | -235,211,309 |
Now, we try dividing 235,211,309 by 3:
235,211,309 ÷ 3 = 78,403,769.6667
If the quotient is a whole number, then 3 and 78,403,769.6667 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 | 235,211,309 | |
-1 | -235,211,309 |
Let's try dividing by 4:
235,211,309 ÷ 4 = 58,802,827.25
If the quotient is a whole number, then 4 and 58,802,827.25 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 | 235,211,309 | |
-1 | 235,211,309 |
If you did it right, you will end up with this table:
1 | 1,031 | 228,139 | 235,211,309 |
-1 | -1,031 | -228,139 | -235,211,309 |
Here are some more numbers to try:
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