Q: What are the factor combinations of the number 374,507?
A:
Positive:
1 x 3745077 x 5350149 x 7643
Negative:
-1 x -374507-7 x -53501-49 x -7643
A:
Positive:
1 x 3745077 x 5350149 x 7643
Negative:
-1 x -374507-7 x -53501-49 x -7643
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 374,507, 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 | 374,507 | |
-1 | -374,507 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 374,507.
Example:
1 x 374,507 = 374,507
and
-1 x -374,507 = 374,507
Notice both answers equal 374,507
With that explanation out of the way, let's continue. Next, we take the number 374,507 and divide it by 2:
374,507 ÷ 2 = 187,253.5
If the quotient is a whole number, then 2 and 187,253.5 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 | 374,507 | |
-1 | -374,507 |
Now, we try dividing 374,507 by 3:
374,507 ÷ 3 = 124,835.6667
If the quotient is a whole number, then 3 and 124,835.6667 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 | 374,507 | |
-1 | -374,507 |
Let's try dividing by 4:
374,507 ÷ 4 = 93,626.75
If the quotient is a whole number, then 4 and 93,626.75 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 | 374,507 | |
-1 | 374,507 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 7,643 | 53,501 | 374,507 |
-1 | -7 | -49 | -7,643 | -53,501 | -374,507 |
Here are some more numbers to try:
Try the factor calculator