Q: What are the factor combinations of the number 36,407?
A:
Positive:
1 x 364077 x 520149 x 743
Negative:
-1 x -36407-7 x -5201-49 x -743
A:
Positive:
1 x 364077 x 520149 x 743
Negative:
-1 x -36407-7 x -5201-49 x -743
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 36,407, 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 | 36,407 | |
-1 | -36,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 36,407.
Example:
1 x 36,407 = 36,407
and
-1 x -36,407 = 36,407
Notice both answers equal 36,407
With that explanation out of the way, let's continue. Next, we take the number 36,407 and divide it by 2:
36,407 ÷ 2 = 18,203.5
If the quotient is a whole number, then 2 and 18,203.5 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 | 36,407 | |
-1 | -36,407 |
Now, we try dividing 36,407 by 3:
36,407 ÷ 3 = 12,135.6667
If the quotient is a whole number, then 3 and 12,135.6667 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 | 36,407 | |
-1 | -36,407 |
Let's try dividing by 4:
36,407 ÷ 4 = 9,101.75
If the quotient is a whole number, then 4 and 9,101.75 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 | 36,407 | |
-1 | 36,407 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 743 | 5,201 | 36,407 |
-1 | -7 | -49 | -743 | -5,201 | -36,407 |
Here are some more numbers to try:
Try the factor calculator