Q: What are the factor combinations of the number 773,404,003?

 A:
Positive:   1 x 77340400323 x 336262613253 x 23775110337 x 74819
Negative: -1 x -773404003-23 x -33626261-3253 x -237751-10337 x -74819


How do I find the factor combinations of the number 773,404,003?

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 773,404,003, 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.

1 773,404,003
-1 -773,404,003

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 773,404,003.

Example:
1 x 773,404,003 = 773,404,003
and
-1 x -773,404,003 = 773,404,003
Notice both answers equal 773,404,003

With that explanation out of the way, let's continue. Next, we take the number 773,404,003 and divide it by 2:

773,404,003 ÷ 2 = 386,702,001.5

If the quotient is a whole number, then 2 and 386,702,001.5 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:

1 773,404,003
-1 -773,404,003

Now, we try dividing 773,404,003 by 3:

773,404,003 ÷ 3 = 257,801,334.3333

If the quotient is a whole number, then 3 and 257,801,334.3333 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:

1 773,404,003
-1 -773,404,003

Let's try dividing by 4:

773,404,003 ÷ 4 = 193,351,000.75

If the quotient is a whole number, then 4 and 193,351,000.75 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:

1 773,404,003
-1 773,404,003
Keep dividing by the next highest number until you cannot divide anymore.

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

1233,25310,33774,819237,75133,626,261773,404,003
-1-23-3,253-10,337-74,819-237,751-33,626,261-773,404,003

More Examples

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