Q: What are the factor combinations of the number 943,549?
A:
Positive:
1 x 94354943 x 21943
Negative:
-1 x -943549-43 x -21943
A:
Positive:
1 x 94354943 x 21943
Negative:
-1 x -943549-43 x -21943
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 943,549, 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 | 943,549 | |
-1 | -943,549 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 943,549.
Example:
1 x 943,549 = 943,549
and
-1 x -943,549 = 943,549
Notice both answers equal 943,549
With that explanation out of the way, let's continue. Next, we take the number 943,549 and divide it by 2:
943,549 ÷ 2 = 471,774.5
If the quotient is a whole number, then 2 and 471,774.5 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 | 943,549 | |
-1 | -943,549 |
Now, we try dividing 943,549 by 3:
943,549 ÷ 3 = 314,516.3333
If the quotient is a whole number, then 3 and 314,516.3333 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 | 943,549 | |
-1 | -943,549 |
Let's try dividing by 4:
943,549 ÷ 4 = 235,887.25
If the quotient is a whole number, then 4 and 235,887.25 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 | 943,549 | |
-1 | 943,549 |
If you did it right, you will end up with this table:
1 | 43 | 21,943 | 943,549 |
-1 | -43 | -21,943 | -943,549 |
Here are some more numbers to try:
Try the factor calculator