Q: What are the factor combinations of the number 474,661?
A:
Positive:
1 x 47466111 x 43151
Negative:
-1 x -474661-11 x -43151
A:
Positive:
1 x 47466111 x 43151
Negative:
-1 x -474661-11 x -43151
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 474,661, 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 | 474,661 | |
-1 | -474,661 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 474,661.
Example:
1 x 474,661 = 474,661
and
-1 x -474,661 = 474,661
Notice both answers equal 474,661
With that explanation out of the way, let's continue. Next, we take the number 474,661 and divide it by 2:
474,661 ÷ 2 = 237,330.5
If the quotient is a whole number, then 2 and 237,330.5 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 | 474,661 | |
-1 | -474,661 |
Now, we try dividing 474,661 by 3:
474,661 ÷ 3 = 158,220.3333
If the quotient is a whole number, then 3 and 158,220.3333 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 | 474,661 | |
-1 | -474,661 |
Let's try dividing by 4:
474,661 ÷ 4 = 118,665.25
If the quotient is a whole number, then 4 and 118,665.25 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 | 474,661 | |
-1 | 474,661 |
If you did it right, you will end up with this table:
1 | 11 | 43,151 | 474,661 |
-1 | -11 | -43,151 | -474,661 |
Here are some more numbers to try:
Try the factor calculator