Q: What are the factor combinations of the number 29,309?
A:
Positive:
1 x 293097 x 418753 x 55379 x 371
Negative:
-1 x -29309-7 x -4187-53 x -553-79 x -371
A:
Positive:
1 x 293097 x 418753 x 55379 x 371
Negative:
-1 x -29309-7 x -4187-53 x -553-79 x -371
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 29,309, 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 | 29,309 | |
-1 | -29,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 29,309.
Example:
1 x 29,309 = 29,309
and
-1 x -29,309 = 29,309
Notice both answers equal 29,309
With that explanation out of the way, let's continue. Next, we take the number 29,309 and divide it by 2:
29,309 ÷ 2 = 14,654.5
If the quotient is a whole number, then 2 and 14,654.5 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 | 29,309 | |
-1 | -29,309 |
Now, we try dividing 29,309 by 3:
29,309 ÷ 3 = 9,769.6667
If the quotient is a whole number, then 3 and 9,769.6667 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 | 29,309 | |
-1 | -29,309 |
Let's try dividing by 4:
29,309 ÷ 4 = 7,327.25
If the quotient is a whole number, then 4 and 7,327.25 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 | 29,309 | |
-1 | 29,309 |
If you did it right, you will end up with this table:
1 | 7 | 53 | 79 | 371 | 553 | 4,187 | 29,309 |
-1 | -7 | -53 | -79 | -371 | -553 | -4,187 | -29,309 |
Here are some more numbers to try:
Try the factor calculator