Q: What are the factor combinations of the number 210,220,097?
A:
Positive:
1 x 210220097181 x 1161437
Negative:
-1 x -210220097-181 x -1161437
A:
Positive:
1 x 210220097181 x 1161437
Negative:
-1 x -210220097-181 x -1161437
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 210,220,097, 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 | 210,220,097 | |
-1 | -210,220,097 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 210,220,097.
Example:
1 x 210,220,097 = 210,220,097
and
-1 x -210,220,097 = 210,220,097
Notice both answers equal 210,220,097
With that explanation out of the way, let's continue. Next, we take the number 210,220,097 and divide it by 2:
210,220,097 ÷ 2 = 105,110,048.5
If the quotient is a whole number, then 2 and 105,110,048.5 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 | 210,220,097 | |
-1 | -210,220,097 |
Now, we try dividing 210,220,097 by 3:
210,220,097 ÷ 3 = 70,073,365.6667
If the quotient is a whole number, then 3 and 70,073,365.6667 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 | 210,220,097 | |
-1 | -210,220,097 |
Let's try dividing by 4:
210,220,097 ÷ 4 = 52,555,024.25
If the quotient is a whole number, then 4 and 52,555,024.25 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 | 210,220,097 | |
-1 | 210,220,097 |
If you did it right, you will end up with this table:
1 | 181 | 1,161,437 | 210,220,097 |
-1 | -181 | -1,161,437 | -210,220,097 |
Here are some more numbers to try:
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