Q: What are the factor combinations of the number 767,761,518?

 A:
Positive:   1 x 7677615182 x 3838807593 x 2559205066 x 12796025311159 x 6880211467 x 6695422318 x 3440122934 x 33477
Negative: -1 x -767761518-2 x -383880759-3 x -255920506-6 x -127960253-11159 x -68802-11467 x -66954-22318 x -34401-22934 x -33477


How do I find the factor combinations of the number 767,761,518?

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 767,761,518, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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.

1 767,761,518
-1 -767,761,518

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 767,761,518.

Example:
1 x 767,761,518 = 767,761,518
and
-1 x -767,761,518 = 767,761,518
Notice both answers equal 767,761,518

With that explanation out of the way, let's continue. Next, we take the number 767,761,518 and divide it by 2:

767,761,518 ÷ 2 = 383,880,759

If the quotient is a whole number, then 2 and 383,880,759 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 383,880,759 767,761,518
-1 -2 -383,880,759 -767,761,518

Now, we try dividing 767,761,518 by 3:

767,761,518 ÷ 3 = 255,920,506

If the quotient is a whole number, then 3 and 255,920,506 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 255,920,506 383,880,759 767,761,518
-1 -2 -3 -255,920,506 -383,880,759 -767,761,518

Let's try dividing by 4:

767,761,518 ÷ 4 = 191,940,379.5

If the quotient is a whole number, then 4 and 191,940,379.5 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 2 3 255,920,506 383,880,759 767,761,518
-1 -2 -3 -255,920,506 -383,880,759 767,761,518
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

123611,15911,46722,31822,93433,47734,40166,95468,802127,960,253255,920,506383,880,759767,761,518
-1-2-3-6-11,159-11,467-22,318-22,934-33,477-34,401-66,954-68,802-127,960,253-255,920,506-383,880,759-767,761,518

More Examples

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