Q: What are the factor combinations of the number 744,300,775?

 A:
Positive:   1 x 7443007755 x 14886015519 x 3917372525 x 2977203195 x 7834745361 x 2061775475 x 15669491805 x 4123559025 x 82471
Negative: -1 x -744300775-5 x -148860155-19 x -39173725-25 x -29772031-95 x -7834745-361 x -2061775-475 x -1566949-1805 x -412355-9025 x -82471


How do I find the factor combinations of the number 744,300,775?

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 744,300,775, 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.

1 744,300,775
-1 -744,300,775

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 744,300,775.

Example:
1 x 744,300,775 = 744,300,775
and
-1 x -744,300,775 = 744,300,775
Notice both answers equal 744,300,775

With that explanation out of the way, let's continue. Next, we take the number 744,300,775 and divide it by 2:

744,300,775 ÷ 2 = 372,150,387.5

If the quotient is a whole number, then 2 and 372,150,387.5 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:

1 744,300,775
-1 -744,300,775

Now, we try dividing 744,300,775 by 3:

744,300,775 ÷ 3 = 248,100,258.3333

If the quotient is a whole number, then 3 and 248,100,258.3333 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:

1 744,300,775
-1 -744,300,775

Let's try dividing by 4:

744,300,775 ÷ 4 = 186,075,193.75

If the quotient is a whole number, then 4 and 186,075,193.75 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:

1 744,300,775
-1 744,300,775
Keep dividing by the next highest number until you cannot divide anymore.

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

151925953614751,8059,02582,471412,3551,566,9492,061,7757,834,74529,772,03139,173,725148,860,155744,300,775
-1-5-19-25-95-361-475-1,805-9,025-82,471-412,355-1,566,949-2,061,775-7,834,745-29,772,031-39,173,725-148,860,155-744,300,775

More Examples

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