Q: What are the factor combinations of the number 29,051?
A:
Positive:
1 x 2905111 x 264119 x 1529139 x 209
Negative:
-1 x -29051-11 x -2641-19 x -1529-139 x -209
A:
Positive:
1 x 2905111 x 264119 x 1529139 x 209
Negative:
-1 x -29051-11 x -2641-19 x -1529-139 x -209
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 29,051, 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 | 29,051 | |
-1 | -29,051 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 29,051.
Example:
1 x 29,051 = 29,051
and
-1 x -29,051 = 29,051
Notice both answers equal 29,051
With that explanation out of the way, let's continue. Next, we take the number 29,051 and divide it by 2:
29,051 ÷ 2 = 14,525.5
If the quotient is a whole number, then 2 and 14,525.5 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 | 29,051 | |
-1 | -29,051 |
Now, we try dividing 29,051 by 3:
29,051 ÷ 3 = 9,683.6667
If the quotient is a whole number, then 3 and 9,683.6667 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 | 29,051 | |
-1 | -29,051 |
Let's try dividing by 4:
29,051 ÷ 4 = 7,262.75
If the quotient is a whole number, then 4 and 7,262.75 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 | 29,051 | |
-1 | 29,051 |
If you did it right, you will end up with this table:
1 | 11 | 19 | 139 | 209 | 1,529 | 2,641 | 29,051 |
-1 | -11 | -19 | -139 | -209 | -1,529 | -2,641 | -29,051 |
Here are some more numbers to try:
Try the factor calculator