Q: What are the factor combinations of the number 374,707?
A:
Positive:
1 x 374707367 x 1021
Negative:
-1 x -374707-367 x -1021
A:
Positive:
1 x 374707367 x 1021
Negative:
-1 x -374707-367 x -1021
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 374,707, 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 | 374,707 | |
-1 | -374,707 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 374,707.
Example:
1 x 374,707 = 374,707
and
-1 x -374,707 = 374,707
Notice both answers equal 374,707
With that explanation out of the way, let's continue. Next, we take the number 374,707 and divide it by 2:
374,707 ÷ 2 = 187,353.5
If the quotient is a whole number, then 2 and 187,353.5 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 | 374,707 | |
-1 | -374,707 |
Now, we try dividing 374,707 by 3:
374,707 ÷ 3 = 124,902.3333
If the quotient is a whole number, then 3 and 124,902.3333 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 | 374,707 | |
-1 | -374,707 |
Let's try dividing by 4:
374,707 ÷ 4 = 93,676.75
If the quotient is a whole number, then 4 and 93,676.75 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 | 374,707 | |
-1 | 374,707 |
If you did it right, you will end up with this table:
1 | 367 | 1,021 | 374,707 |
-1 | -367 | -1,021 | -374,707 |
Here are some more numbers to try:
Try the factor calculator