Q: What are the factor combinations of the number 367,627?
A:
Positive:
1 x 36762713 x 28279
Negative:
-1 x -367627-13 x -28279
A:
Positive:
1 x 36762713 x 28279
Negative:
-1 x -367627-13 x -28279
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 367,627, 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 | 367,627 | |
-1 | -367,627 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 367,627.
Example:
1 x 367,627 = 367,627
and
-1 x -367,627 = 367,627
Notice both answers equal 367,627
With that explanation out of the way, let's continue. Next, we take the number 367,627 and divide it by 2:
367,627 ÷ 2 = 183,813.5
If the quotient is a whole number, then 2 and 183,813.5 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 | 367,627 | |
-1 | -367,627 |
Now, we try dividing 367,627 by 3:
367,627 ÷ 3 = 122,542.3333
If the quotient is a whole number, then 3 and 122,542.3333 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 | 367,627 | |
-1 | -367,627 |
Let's try dividing by 4:
367,627 ÷ 4 = 91,906.75
If the quotient is a whole number, then 4 and 91,906.75 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 | 367,627 | |
-1 | 367,627 |
If you did it right, you will end up with this table:
1 | 13 | 28,279 | 367,627 |
-1 | -13 | -28,279 | -367,627 |
Here are some more numbers to try:
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