Q: What are the factor combinations of the number 506,756,407?
A:
Positive:
1 x 5067564071531 x 330997
Negative:
-1 x -506756407-1531 x -330997
A:
Positive:
1 x 5067564071531 x 330997
Negative:
-1 x -506756407-1531 x -330997
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 506,756,407, 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 | 506,756,407 | |
-1 | -506,756,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 506,756,407.
Example:
1 x 506,756,407 = 506,756,407
and
-1 x -506,756,407 = 506,756,407
Notice both answers equal 506,756,407
With that explanation out of the way, let's continue. Next, we take the number 506,756,407 and divide it by 2:
506,756,407 ÷ 2 = 253,378,203.5
If the quotient is a whole number, then 2 and 253,378,203.5 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 | 506,756,407 | |
-1 | -506,756,407 |
Now, we try dividing 506,756,407 by 3:
506,756,407 ÷ 3 = 168,918,802.3333
If the quotient is a whole number, then 3 and 168,918,802.3333 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 | 506,756,407 | |
-1 | -506,756,407 |
Let's try dividing by 4:
506,756,407 ÷ 4 = 126,689,101.75
If the quotient is a whole number, then 4 and 126,689,101.75 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 | 506,756,407 | |
-1 | 506,756,407 |
If you did it right, you will end up with this table:
1 | 1,531 | 330,997 | 506,756,407 |
-1 | -1,531 | -330,997 | -506,756,407 |
Here are some more numbers to try:
Try the factor calculator