Q: What are the factor combinations of the number 114,222,001?
A:
Positive:
1 x 1142220017793 x 14657
Negative:
-1 x -114222001-7793 x -14657
A:
Positive:
1 x 1142220017793 x 14657
Negative:
-1 x -114222001-7793 x -14657
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 114,222,001, 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 | 114,222,001 | |
-1 | -114,222,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 114,222,001.
Example:
1 x 114,222,001 = 114,222,001
and
-1 x -114,222,001 = 114,222,001
Notice both answers equal 114,222,001
With that explanation out of the way, let's continue. Next, we take the number 114,222,001 and divide it by 2:
114,222,001 ÷ 2 = 57,111,000.5
If the quotient is a whole number, then 2 and 57,111,000.5 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 | 114,222,001 | |
-1 | -114,222,001 |
Now, we try dividing 114,222,001 by 3:
114,222,001 ÷ 3 = 38,074,000.3333
If the quotient is a whole number, then 3 and 38,074,000.3333 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 | 114,222,001 | |
-1 | -114,222,001 |
Let's try dividing by 4:
114,222,001 ÷ 4 = 28,555,500.25
If the quotient is a whole number, then 4 and 28,555,500.25 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 | 114,222,001 | |
-1 | 114,222,001 |
If you did it right, you will end up with this table:
1 | 7,793 | 14,657 | 114,222,001 |
-1 | -7,793 | -14,657 | -114,222,001 |
Here are some more numbers to try:
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