Q: What are the factor combinations of the number 740,563?
A:
Positive:
1 x 74056319 x 38977
Negative:
-1 x -740563-19 x -38977
A:
Positive:
1 x 74056319 x 38977
Negative:
-1 x -740563-19 x -38977
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 740,563, 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 | 740,563 | |
-1 | -740,563 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 740,563.
Example:
1 x 740,563 = 740,563
and
-1 x -740,563 = 740,563
Notice both answers equal 740,563
With that explanation out of the way, let's continue. Next, we take the number 740,563 and divide it by 2:
740,563 ÷ 2 = 370,281.5
If the quotient is a whole number, then 2 and 370,281.5 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 | 740,563 | |
-1 | -740,563 |
Now, we try dividing 740,563 by 3:
740,563 ÷ 3 = 246,854.3333
If the quotient is a whole number, then 3 and 246,854.3333 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 | 740,563 | |
-1 | -740,563 |
Let's try dividing by 4:
740,563 ÷ 4 = 185,140.75
If the quotient is a whole number, then 4 and 185,140.75 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 | 740,563 | |
-1 | 740,563 |
If you did it right, you will end up with this table:
1 | 19 | 38,977 | 740,563 |
-1 | -19 | -38,977 | -740,563 |
Here are some more numbers to try:
Try the factor calculator