Q: What are the factor combinations of the number 35,119?
A:
Positive:
1 x 351197 x 501729 x 1211173 x 203
Negative:
-1 x -35119-7 x -5017-29 x -1211-173 x -203
A:
Positive:
1 x 351197 x 501729 x 1211173 x 203
Negative:
-1 x -35119-7 x -5017-29 x -1211-173 x -203
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 35,119, 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 | 35,119 | |
-1 | -35,119 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,119.
Example:
1 x 35,119 = 35,119
and
-1 x -35,119 = 35,119
Notice both answers equal 35,119
With that explanation out of the way, let's continue. Next, we take the number 35,119 and divide it by 2:
35,119 ÷ 2 = 17,559.5
If the quotient is a whole number, then 2 and 17,559.5 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 | 35,119 | |
-1 | -35,119 |
Now, we try dividing 35,119 by 3:
35,119 ÷ 3 = 11,706.3333
If the quotient is a whole number, then 3 and 11,706.3333 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 | 35,119 | |
-1 | -35,119 |
Let's try dividing by 4:
35,119 ÷ 4 = 8,779.75
If the quotient is a whole number, then 4 and 8,779.75 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 | 35,119 | |
-1 | 35,119 |
If you did it right, you will end up with this table:
1 | 7 | 29 | 173 | 203 | 1,211 | 5,017 | 35,119 |
-1 | -7 | -29 | -173 | -203 | -1,211 | -5,017 | -35,119 |
Here are some more numbers to try:
Try the factor calculator