Q: What are the factor combinations of the number 370,301?
A:
Positive:
1 x 37030129 x 12769113 x 3277
Negative:
-1 x -370301-29 x -12769-113 x -3277
A:
Positive:
1 x 37030129 x 12769113 x 3277
Negative:
-1 x -370301-29 x -12769-113 x -3277
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 370,301, 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 | 370,301 | |
-1 | -370,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 370,301.
Example:
1 x 370,301 = 370,301
and
-1 x -370,301 = 370,301
Notice both answers equal 370,301
With that explanation out of the way, let's continue. Next, we take the number 370,301 and divide it by 2:
370,301 ÷ 2 = 185,150.5
If the quotient is a whole number, then 2 and 185,150.5 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 | 370,301 | |
-1 | -370,301 |
Now, we try dividing 370,301 by 3:
370,301 ÷ 3 = 123,433.6667
If the quotient is a whole number, then 3 and 123,433.6667 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 | 370,301 | |
-1 | -370,301 |
Let's try dividing by 4:
370,301 ÷ 4 = 92,575.25
If the quotient is a whole number, then 4 and 92,575.25 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 | 370,301 | |
-1 | 370,301 |
If you did it right, you will end up with this table:
1 | 29 | 113 | 3,277 | 12,769 | 370,301 |
-1 | -29 | -113 | -3,277 | -12,769 | -370,301 |
Here are some more numbers to try:
Try the factor calculator