Q: What are the factor combinations of the number 777,550,145?

 A:
Positive:   1 x 7775501455 x 1555100293623 x 21461518115 x 42923
Negative: -1 x -777550145-5 x -155510029-3623 x -214615-18115 x -42923


How do I find the factor combinations of the number 777,550,145?

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 777,550,145, 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.

1 777,550,145
-1 -777,550,145

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 777,550,145.

Example:
1 x 777,550,145 = 777,550,145
and
-1 x -777,550,145 = 777,550,145
Notice both answers equal 777,550,145

With that explanation out of the way, let's continue. Next, we take the number 777,550,145 and divide it by 2:

777,550,145 ÷ 2 = 388,775,072.5

If the quotient is a whole number, then 2 and 388,775,072.5 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:

1 777,550,145
-1 -777,550,145

Now, we try dividing 777,550,145 by 3:

777,550,145 ÷ 3 = 259,183,381.6667

If the quotient is a whole number, then 3 and 259,183,381.6667 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:

1 777,550,145
-1 -777,550,145

Let's try dividing by 4:

777,550,145 ÷ 4 = 194,387,536.25

If the quotient is a whole number, then 4 and 194,387,536.25 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:

1 777,550,145
-1 777,550,145
Keep dividing by the next highest number until you cannot divide anymore.

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

153,62318,11542,923214,615155,510,029777,550,145
-1-5-3,623-18,115-42,923-214,615-155,510,029-777,550,145

More Examples

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