Q: What are the factor combinations of the number 767,055,137?
A:
Positive:
1 x 76705513719 x 40371323
Negative:
-1 x -767055137-19 x -40371323
A:
Positive:
1 x 76705513719 x 40371323
Negative:
-1 x -767055137-19 x -40371323
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 767,055,137, 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 | 767,055,137 | |
-1 | -767,055,137 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 767,055,137.
Example:
1 x 767,055,137 = 767,055,137
and
-1 x -767,055,137 = 767,055,137
Notice both answers equal 767,055,137
With that explanation out of the way, let's continue. Next, we take the number 767,055,137 and divide it by 2:
767,055,137 ÷ 2 = 383,527,568.5
If the quotient is a whole number, then 2 and 383,527,568.5 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 | 767,055,137 | |
-1 | -767,055,137 |
Now, we try dividing 767,055,137 by 3:
767,055,137 ÷ 3 = 255,685,045.6667
If the quotient is a whole number, then 3 and 255,685,045.6667 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 | 767,055,137 | |
-1 | -767,055,137 |
Let's try dividing by 4:
767,055,137 ÷ 4 = 191,763,784.25
If the quotient is a whole number, then 4 and 191,763,784.25 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 | 767,055,137 | |
-1 | 767,055,137 |
If you did it right, you will end up with this table:
1 | 19 | 40,371,323 | 767,055,137 |
-1 | -19 | -40,371,323 | -767,055,137 |
Here are some more numbers to try:
Try the factor calculator