Q: What are the factor combinations of the number 371,293?
A:
Positive:
1 x 37129313 x 28561169 x 2197
Negative:
-1 x -371293-13 x -28561-169 x -2197
A:
Positive:
1 x 37129313 x 28561169 x 2197
Negative:
-1 x -371293-13 x -28561-169 x -2197
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 371,293, 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 | 371,293 | |
-1 | -371,293 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 371,293.
Example:
1 x 371,293 = 371,293
and
-1 x -371,293 = 371,293
Notice both answers equal 371,293
With that explanation out of the way, let's continue. Next, we take the number 371,293 and divide it by 2:
371,293 ÷ 2 = 185,646.5
If the quotient is a whole number, then 2 and 185,646.5 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 | 371,293 | |
-1 | -371,293 |
Now, we try dividing 371,293 by 3:
371,293 ÷ 3 = 123,764.3333
If the quotient is a whole number, then 3 and 123,764.3333 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 | 371,293 | |
-1 | -371,293 |
Let's try dividing by 4:
371,293 ÷ 4 = 92,823.25
If the quotient is a whole number, then 4 and 92,823.25 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 | 371,293 | |
-1 | 371,293 |
If you did it right, you will end up with this table:
1 | 13 | 169 | 2,197 | 28,561 | 371,293 |
-1 | -13 | -169 | -2,197 | -28,561 | -371,293 |
Here are some more numbers to try:
Try the factor calculator