Q: What are the factor combinations of the number 369,649?
A:
Positive:
1 x 3696497 x 52807
Negative:
-1 x -369649-7 x -52807
A:
Positive:
1 x 3696497 x 52807
Negative:
-1 x -369649-7 x -52807
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 369,649, 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 | 369,649 | |
-1 | -369,649 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 369,649.
Example:
1 x 369,649 = 369,649
and
-1 x -369,649 = 369,649
Notice both answers equal 369,649
With that explanation out of the way, let's continue. Next, we take the number 369,649 and divide it by 2:
369,649 ÷ 2 = 184,824.5
If the quotient is a whole number, then 2 and 184,824.5 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 | 369,649 | |
-1 | -369,649 |
Now, we try dividing 369,649 by 3:
369,649 ÷ 3 = 123,216.3333
If the quotient is a whole number, then 3 and 123,216.3333 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 | 369,649 | |
-1 | -369,649 |
Let's try dividing by 4:
369,649 ÷ 4 = 92,412.25
If the quotient is a whole number, then 4 and 92,412.25 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 | 369,649 | |
-1 | 369,649 |
If you did it right, you will end up with this table:
1 | 7 | 52,807 | 369,649 |
-1 | -7 | -52,807 | -369,649 |
Here are some more numbers to try:
Try the factor calculator