Q: What are the factor combinations of the number 102,222,323?
A:
Positive:
1 x 1022223237 x 14603189
Negative:
-1 x -102222323-7 x -14603189
A:
Positive:
1 x 1022223237 x 14603189
Negative:
-1 x -102222323-7 x -14603189
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 102,222,323, 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 | 102,222,323 | |
-1 | -102,222,323 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,222,323.
Example:
1 x 102,222,323 = 102,222,323
and
-1 x -102,222,323 = 102,222,323
Notice both answers equal 102,222,323
With that explanation out of the way, let's continue. Next, we take the number 102,222,323 and divide it by 2:
102,222,323 ÷ 2 = 51,111,161.5
If the quotient is a whole number, then 2 and 51,111,161.5 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 | 102,222,323 | |
-1 | -102,222,323 |
Now, we try dividing 102,222,323 by 3:
102,222,323 ÷ 3 = 34,074,107.6667
If the quotient is a whole number, then 3 and 34,074,107.6667 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 | 102,222,323 | |
-1 | -102,222,323 |
Let's try dividing by 4:
102,222,323 ÷ 4 = 25,555,580.75
If the quotient is a whole number, then 4 and 25,555,580.75 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 | 102,222,323 | |
-1 | 102,222,323 |
If you did it right, you will end up with this table:
1 | 7 | 14,603,189 | 102,222,323 |
-1 | -7 | -14,603,189 | -102,222,323 |
Here are some more numbers to try:
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