Q: What are the factor combinations of the number 147,601?
A:
Positive:
1 x 14760167 x 2203
Negative:
-1 x -147601-67 x -2203
A:
Positive:
1 x 14760167 x 2203
Negative:
-1 x -147601-67 x -2203
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 147,601, 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 | 147,601 | |
-1 | -147,601 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 147,601.
Example:
1 x 147,601 = 147,601
and
-1 x -147,601 = 147,601
Notice both answers equal 147,601
With that explanation out of the way, let's continue. Next, we take the number 147,601 and divide it by 2:
147,601 ÷ 2 = 73,800.5
If the quotient is a whole number, then 2 and 73,800.5 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 | 147,601 | |
-1 | -147,601 |
Now, we try dividing 147,601 by 3:
147,601 ÷ 3 = 49,200.3333
If the quotient is a whole number, then 3 and 49,200.3333 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 | 147,601 | |
-1 | -147,601 |
Let's try dividing by 4:
147,601 ÷ 4 = 36,900.25
If the quotient is a whole number, then 4 and 36,900.25 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 | 147,601 | |
-1 | 147,601 |
If you did it right, you will end up with this table:
1 | 67 | 2,203 | 147,601 |
-1 | -67 | -2,203 | -147,601 |
Here are some more numbers to try:
Try the factor calculator