Q: What are the factor combinations of the number 325,120,049?
A:
Positive:
1 x 325120049251 x 1295299
Negative:
-1 x -325120049-251 x -1295299
A:
Positive:
1 x 325120049251 x 1295299
Negative:
-1 x -325120049-251 x -1295299
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 325,120,049, 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 | 325,120,049 | |
-1 | -325,120,049 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 325,120,049.
Example:
1 x 325,120,049 = 325,120,049
and
-1 x -325,120,049 = 325,120,049
Notice both answers equal 325,120,049
With that explanation out of the way, let's continue. Next, we take the number 325,120,049 and divide it by 2:
325,120,049 ÷ 2 = 162,560,024.5
If the quotient is a whole number, then 2 and 162,560,024.5 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 | 325,120,049 | |
-1 | -325,120,049 |
Now, we try dividing 325,120,049 by 3:
325,120,049 ÷ 3 = 108,373,349.6667
If the quotient is a whole number, then 3 and 108,373,349.6667 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 | 325,120,049 | |
-1 | -325,120,049 |
Let's try dividing by 4:
325,120,049 ÷ 4 = 81,280,012.25
If the quotient is a whole number, then 4 and 81,280,012.25 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 | 325,120,049 | |
-1 | 325,120,049 |
If you did it right, you will end up with this table:
1 | 251 | 1,295,299 | 325,120,049 |
-1 | -251 | -1,295,299 | -325,120,049 |
Here are some more numbers to try:
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