Q: What are the factor combinations of the number 464,911?
A:
Positive:
1 x 46491119 x 24469
Negative:
-1 x -464911-19 x -24469
A:
Positive:
1 x 46491119 x 24469
Negative:
-1 x -464911-19 x -24469
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 464,911, 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 | 464,911 | |
-1 | -464,911 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 464,911.
Example:
1 x 464,911 = 464,911
and
-1 x -464,911 = 464,911
Notice both answers equal 464,911
With that explanation out of the way, let's continue. Next, we take the number 464,911 and divide it by 2:
464,911 ÷ 2 = 232,455.5
If the quotient is a whole number, then 2 and 232,455.5 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 | 464,911 | |
-1 | -464,911 |
Now, we try dividing 464,911 by 3:
464,911 ÷ 3 = 154,970.3333
If the quotient is a whole number, then 3 and 154,970.3333 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 | 464,911 | |
-1 | -464,911 |
Let's try dividing by 4:
464,911 ÷ 4 = 116,227.75
If the quotient is a whole number, then 4 and 116,227.75 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 | 464,911 | |
-1 | 464,911 |
If you did it right, you will end up with this table:
1 | 19 | 24,469 | 464,911 |
-1 | -19 | -24,469 | -464,911 |
Here are some more numbers to try:
Try the factor calculator