Q: What are the factor combinations of the number 221,443,031?
A:
Positive:
1 x 2214430312029 x 109139
Negative:
-1 x -221443031-2029 x -109139
A:
Positive:
1 x 2214430312029 x 109139
Negative:
-1 x -221443031-2029 x -109139
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 221,443,031, 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 | 221,443,031 | |
-1 | -221,443,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,443,031.
Example:
1 x 221,443,031 = 221,443,031
and
-1 x -221,443,031 = 221,443,031
Notice both answers equal 221,443,031
With that explanation out of the way, let's continue. Next, we take the number 221,443,031 and divide it by 2:
221,443,031 ÷ 2 = 110,721,515.5
If the quotient is a whole number, then 2 and 110,721,515.5 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 | 221,443,031 | |
-1 | -221,443,031 |
Now, we try dividing 221,443,031 by 3:
221,443,031 ÷ 3 = 73,814,343.6667
If the quotient is a whole number, then 3 and 73,814,343.6667 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 | 221,443,031 | |
-1 | -221,443,031 |
Let's try dividing by 4:
221,443,031 ÷ 4 = 55,360,757.75
If the quotient is a whole number, then 4 and 55,360,757.75 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 | 221,443,031 | |
-1 | 221,443,031 |
If you did it right, you will end up with this table:
1 | 2,029 | 109,139 | 221,443,031 |
-1 | -2,029 | -109,139 | -221,443,031 |
Here are some more numbers to try:
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