Q: What are the factor combinations of the number 371,407?
A:
Positive:
1 x 371407137 x 2711
Negative:
-1 x -371407-137 x -2711
A:
Positive:
1 x 371407137 x 2711
Negative:
-1 x -371407-137 x -2711
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 371,407, 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 | 371,407 | |
-1 | -371,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 371,407.
Example:
1 x 371,407 = 371,407
and
-1 x -371,407 = 371,407
Notice both answers equal 371,407
With that explanation out of the way, let's continue. Next, we take the number 371,407 and divide it by 2:
371,407 ÷ 2 = 185,703.5
If the quotient is a whole number, then 2 and 185,703.5 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 | 371,407 | |
-1 | -371,407 |
Now, we try dividing 371,407 by 3:
371,407 ÷ 3 = 123,802.3333
If the quotient is a whole number, then 3 and 123,802.3333 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 | 371,407 | |
-1 | -371,407 |
Let's try dividing by 4:
371,407 ÷ 4 = 92,851.75
If the quotient is a whole number, then 4 and 92,851.75 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 | 371,407 | |
-1 | 371,407 |
If you did it right, you will end up with this table:
1 | 137 | 2,711 | 371,407 |
-1 | -137 | -2,711 | -371,407 |
Here are some more numbers to try:
Try the factor calculator