Q: What are the factor combinations of the number 213,042,523?
A:
Positive:
1 x 213042523331 x 643633
Negative:
-1 x -213042523-331 x -643633
A:
Positive:
1 x 213042523331 x 643633
Negative:
-1 x -213042523-331 x -643633
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 213,042,523, 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 | 213,042,523 | |
-1 | -213,042,523 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,042,523.
Example:
1 x 213,042,523 = 213,042,523
and
-1 x -213,042,523 = 213,042,523
Notice both answers equal 213,042,523
With that explanation out of the way, let's continue. Next, we take the number 213,042,523 and divide it by 2:
213,042,523 ÷ 2 = 106,521,261.5
If the quotient is a whole number, then 2 and 106,521,261.5 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 | 213,042,523 | |
-1 | -213,042,523 |
Now, we try dividing 213,042,523 by 3:
213,042,523 ÷ 3 = 71,014,174.3333
If the quotient is a whole number, then 3 and 71,014,174.3333 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 | 213,042,523 | |
-1 | -213,042,523 |
Let's try dividing by 4:
213,042,523 ÷ 4 = 53,260,630.75
If the quotient is a whole number, then 4 and 53,260,630.75 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 | 213,042,523 | |
-1 | 213,042,523 |
If you did it right, you will end up with this table:
1 | 331 | 643,633 | 213,042,523 |
-1 | -331 | -643,633 | -213,042,523 |
Here are some more numbers to try:
Try the factor calculator