Q: What are the factor combinations of the number 736,553?
A:
Positive:
1 x 736553103 x 7151
Negative:
-1 x -736553-103 x -7151
A:
Positive:
1 x 736553103 x 7151
Negative:
-1 x -736553-103 x -7151
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 736,553, 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 | 736,553 | |
-1 | -736,553 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 736,553.
Example:
1 x 736,553 = 736,553
and
-1 x -736,553 = 736,553
Notice both answers equal 736,553
With that explanation out of the way, let's continue. Next, we take the number 736,553 and divide it by 2:
736,553 ÷ 2 = 368,276.5
If the quotient is a whole number, then 2 and 368,276.5 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 | 736,553 | |
-1 | -736,553 |
Now, we try dividing 736,553 by 3:
736,553 ÷ 3 = 245,517.6667
If the quotient is a whole number, then 3 and 245,517.6667 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 | 736,553 | |
-1 | -736,553 |
Let's try dividing by 4:
736,553 ÷ 4 = 184,138.25
If the quotient is a whole number, then 4 and 184,138.25 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 | 736,553 | |
-1 | 736,553 |
If you did it right, you will end up with this table:
1 | 103 | 7,151 | 736,553 |
-1 | -103 | -7,151 | -736,553 |
Here are some more numbers to try:
Try the factor calculator