Q: What are the factor combinations of the number 146,675?
A:
Positive:
1 x 1466755 x 2933525 x 5867
Negative:
-1 x -146675-5 x -29335-25 x -5867
A:
Positive:
1 x 1466755 x 2933525 x 5867
Negative:
-1 x -146675-5 x -29335-25 x -5867
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 146,675, 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 | 146,675 | |
-1 | -146,675 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 146,675.
Example:
1 x 146,675 = 146,675
and
-1 x -146,675 = 146,675
Notice both answers equal 146,675
With that explanation out of the way, let's continue. Next, we take the number 146,675 and divide it by 2:
146,675 ÷ 2 = 73,337.5
If the quotient is a whole number, then 2 and 73,337.5 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 | 146,675 | |
-1 | -146,675 |
Now, we try dividing 146,675 by 3:
146,675 ÷ 3 = 48,891.6667
If the quotient is a whole number, then 3 and 48,891.6667 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 | 146,675 | |
-1 | -146,675 |
Let's try dividing by 4:
146,675 ÷ 4 = 36,668.75
If the quotient is a whole number, then 4 and 36,668.75 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 | 146,675 | |
-1 | 146,675 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 5,867 | 29,335 | 146,675 |
-1 | -5 | -25 | -5,867 | -29,335 | -146,675 |
Here are some more numbers to try:
Try the factor calculator