Q: What are the factor combinations of the number 414,223,021?
A:
Positive:
1 x 41422302113711 x 30211
Negative:
-1 x -414223021-13711 x -30211
A:
Positive:
1 x 41422302113711 x 30211
Negative:
-1 x -414223021-13711 x -30211
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 414,223,021, 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 | 414,223,021 | |
-1 | -414,223,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 414,223,021.
Example:
1 x 414,223,021 = 414,223,021
and
-1 x -414,223,021 = 414,223,021
Notice both answers equal 414,223,021
With that explanation out of the way, let's continue. Next, we take the number 414,223,021 and divide it by 2:
414,223,021 ÷ 2 = 207,111,510.5
If the quotient is a whole number, then 2 and 207,111,510.5 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 | 414,223,021 | |
-1 | -414,223,021 |
Now, we try dividing 414,223,021 by 3:
414,223,021 ÷ 3 = 138,074,340.3333
If the quotient is a whole number, then 3 and 138,074,340.3333 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 | 414,223,021 | |
-1 | -414,223,021 |
Let's try dividing by 4:
414,223,021 ÷ 4 = 103,555,755.25
If the quotient is a whole number, then 4 and 103,555,755.25 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 | 414,223,021 | |
-1 | 414,223,021 |
If you did it right, you will end up with this table:
1 | 13,711 | 30,211 | 414,223,021 |
-1 | -13,711 | -30,211 | -414,223,021 |
Here are some more numbers to try:
Try the factor calculator