Q: What are the factor combinations of the number 46,265?
A:
Positive:
1 x 462655 x 925319 x 243595 x 487
Negative:
-1 x -46265-5 x -9253-19 x -2435-95 x -487
A:
Positive:
1 x 462655 x 925319 x 243595 x 487
Negative:
-1 x -46265-5 x -9253-19 x -2435-95 x -487
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 46,265, 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 | 46,265 | |
-1 | -46,265 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 46,265.
Example:
1 x 46,265 = 46,265
and
-1 x -46,265 = 46,265
Notice both answers equal 46,265
With that explanation out of the way, let's continue. Next, we take the number 46,265 and divide it by 2:
46,265 ÷ 2 = 23,132.5
If the quotient is a whole number, then 2 and 23,132.5 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 | 46,265 | |
-1 | -46,265 |
Now, we try dividing 46,265 by 3:
46,265 ÷ 3 = 15,421.6667
If the quotient is a whole number, then 3 and 15,421.6667 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 | 46,265 | |
-1 | -46,265 |
Let's try dividing by 4:
46,265 ÷ 4 = 11,566.25
If the quotient is a whole number, then 4 and 11,566.25 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 | 46,265 | |
-1 | 46,265 |
If you did it right, you will end up with this table:
1 | 5 | 19 | 95 | 487 | 2,435 | 9,253 | 46,265 |
-1 | -5 | -19 | -95 | -487 | -2,435 | -9,253 | -46,265 |
Here are some more numbers to try:
Try the factor calculator