Q: What are the factor combinations of the number 4,003,409?
A:
Positive:
1 x 4003409373 x 10733
Negative:
-1 x -4003409-373 x -10733
A:
Positive:
1 x 4003409373 x 10733
Negative:
-1 x -4003409-373 x -10733
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 4,003,409, 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 | 4,003,409 | |
-1 | -4,003,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,003,409.
Example:
1 x 4,003,409 = 4,003,409
and
-1 x -4,003,409 = 4,003,409
Notice both answers equal 4,003,409
With that explanation out of the way, let's continue. Next, we take the number 4,003,409 and divide it by 2:
4,003,409 ÷ 2 = 2,001,704.5
If the quotient is a whole number, then 2 and 2,001,704.5 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 | 4,003,409 | |
-1 | -4,003,409 |
Now, we try dividing 4,003,409 by 3:
4,003,409 ÷ 3 = 1,334,469.6667
If the quotient is a whole number, then 3 and 1,334,469.6667 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 | 4,003,409 | |
-1 | -4,003,409 |
Let's try dividing by 4:
4,003,409 ÷ 4 = 1,000,852.25
If the quotient is a whole number, then 4 and 1,000,852.25 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 | 4,003,409 | |
-1 | 4,003,409 |
If you did it right, you will end up with this table:
1 | 373 | 10,733 | 4,003,409 |
-1 | -373 | -10,733 | -4,003,409 |
Here are some more numbers to try:
Try the factor calculator