Q: What are the factor combinations of the number 53,747,723?
A:
Positive:
1 x 5374772389 x 603907
Negative:
-1 x -53747723-89 x -603907
A:
Positive:
1 x 5374772389 x 603907
Negative:
-1 x -53747723-89 x -603907
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 53,747,723, 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 | 53,747,723 | |
-1 | -53,747,723 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 53,747,723.
Example:
1 x 53,747,723 = 53,747,723
and
-1 x -53,747,723 = 53,747,723
Notice both answers equal 53,747,723
With that explanation out of the way, let's continue. Next, we take the number 53,747,723 and divide it by 2:
53,747,723 ÷ 2 = 26,873,861.5
If the quotient is a whole number, then 2 and 26,873,861.5 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 | 53,747,723 | |
-1 | -53,747,723 |
Now, we try dividing 53,747,723 by 3:
53,747,723 ÷ 3 = 17,915,907.6667
If the quotient is a whole number, then 3 and 17,915,907.6667 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 | 53,747,723 | |
-1 | -53,747,723 |
Let's try dividing by 4:
53,747,723 ÷ 4 = 13,436,930.75
If the quotient is a whole number, then 4 and 13,436,930.75 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 | 53,747,723 | |
-1 | 53,747,723 |
If you did it right, you will end up with this table:
1 | 89 | 603,907 | 53,747,723 |
-1 | -89 | -603,907 | -53,747,723 |
Here are some more numbers to try:
Try the factor calculator