Q: What are the factor combinations of the number 40,001?
A:
Positive:
1 x 4000113 x 307717 x 2353181 x 221
Negative:
-1 x -40001-13 x -3077-17 x -2353-181 x -221
A:
Positive:
1 x 4000113 x 307717 x 2353181 x 221
Negative:
-1 x -40001-13 x -3077-17 x -2353-181 x -221
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 40,001, 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 | 40,001 | |
-1 | -40,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 40,001.
Example:
1 x 40,001 = 40,001
and
-1 x -40,001 = 40,001
Notice both answers equal 40,001
With that explanation out of the way, let's continue. Next, we take the number 40,001 and divide it by 2:
40,001 ÷ 2 = 20,000.5
If the quotient is a whole number, then 2 and 20,000.5 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 | 40,001 | |
-1 | -40,001 |
Now, we try dividing 40,001 by 3:
40,001 ÷ 3 = 13,333.6667
If the quotient is a whole number, then 3 and 13,333.6667 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 | 40,001 | |
-1 | -40,001 |
Let's try dividing by 4:
40,001 ÷ 4 = 10,000.25
If the quotient is a whole number, then 4 and 10,000.25 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 | 40,001 | |
-1 | 40,001 |
If you did it right, you will end up with this table:
1 | 13 | 17 | 181 | 221 | 2,353 | 3,077 | 40,001 |
-1 | -13 | -17 | -181 | -221 | -2,353 | -3,077 | -40,001 |
Here are some more numbers to try:
Try the factor calculator