Q: What are the factor combinations of the number 50,407?
A:
Positive:
1 x 504077 x 720119 x 2653133 x 379
Negative:
-1 x -50407-7 x -7201-19 x -2653-133 x -379
A:
Positive:
1 x 504077 x 720119 x 2653133 x 379
Negative:
-1 x -50407-7 x -7201-19 x -2653-133 x -379
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 50,407, 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 | 50,407 | |
-1 | -50,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 50,407.
Example:
1 x 50,407 = 50,407
and
-1 x -50,407 = 50,407
Notice both answers equal 50,407
With that explanation out of the way, let's continue. Next, we take the number 50,407 and divide it by 2:
50,407 ÷ 2 = 25,203.5
If the quotient is a whole number, then 2 and 25,203.5 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 | 50,407 | |
-1 | -50,407 |
Now, we try dividing 50,407 by 3:
50,407 ÷ 3 = 16,802.3333
If the quotient is a whole number, then 3 and 16,802.3333 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 | 50,407 | |
-1 | -50,407 |
Let's try dividing by 4:
50,407 ÷ 4 = 12,601.75
If the quotient is a whole number, then 4 and 12,601.75 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 | 50,407 | |
-1 | 50,407 |
If you did it right, you will end up with this table:
1 | 7 | 19 | 133 | 379 | 2,653 | 7,201 | 50,407 |
-1 | -7 | -19 | -133 | -379 | -2,653 | -7,201 | -50,407 |
Here are some more numbers to try:
Try the factor calculator