Q: What are the factor combinations of the number 746,599?
A:
Positive:
1 x 7465997 x 106657
Negative:
-1 x -746599-7 x -106657
A:
Positive:
1 x 7465997 x 106657
Negative:
-1 x -746599-7 x -106657
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 746,599, 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 | 746,599 | |
-1 | -746,599 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 746,599.
Example:
1 x 746,599 = 746,599
and
-1 x -746,599 = 746,599
Notice both answers equal 746,599
With that explanation out of the way, let's continue. Next, we take the number 746,599 and divide it by 2:
746,599 ÷ 2 = 373,299.5
If the quotient is a whole number, then 2 and 373,299.5 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 | 746,599 | |
-1 | -746,599 |
Now, we try dividing 746,599 by 3:
746,599 ÷ 3 = 248,866.3333
If the quotient is a whole number, then 3 and 248,866.3333 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 | 746,599 | |
-1 | -746,599 |
Let's try dividing by 4:
746,599 ÷ 4 = 186,649.75
If the quotient is a whole number, then 4 and 186,649.75 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 | 746,599 | |
-1 | 746,599 |
If you did it right, you will end up with this table:
1 | 7 | 106,657 | 746,599 |
-1 | -7 | -106,657 | -746,599 |
Here are some more numbers to try:
Try the factor calculator