Q: What are the factor combinations of the number 743,311,645?

 A:
Positive:   1 x 7433116455 x 14866232931 x 23977795155 x 4795559401 x 18536452005 x 37072911959 x 6215512431 x 59795
Negative: -1 x -743311645-5 x -148662329-31 x -23977795-155 x -4795559-401 x -1853645-2005 x -370729-11959 x -62155-12431 x -59795


How do I find the factor combinations of the number 743,311,645?

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 743,311,645, 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.

1 743,311,645
-1 -743,311,645

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 743,311,645.

Example:
1 x 743,311,645 = 743,311,645
and
-1 x -743,311,645 = 743,311,645
Notice both answers equal 743,311,645

With that explanation out of the way, let's continue. Next, we take the number 743,311,645 and divide it by 2:

743,311,645 ÷ 2 = 371,655,822.5

If the quotient is a whole number, then 2 and 371,655,822.5 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:

1 743,311,645
-1 -743,311,645

Now, we try dividing 743,311,645 by 3:

743,311,645 ÷ 3 = 247,770,548.3333

If the quotient is a whole number, then 3 and 247,770,548.3333 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:

1 743,311,645
-1 -743,311,645

Let's try dividing by 4:

743,311,645 ÷ 4 = 185,827,911.25

If the quotient is a whole number, then 4 and 185,827,911.25 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:

1 743,311,645
-1 743,311,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15311554012,00511,95912,43159,79562,155370,7291,853,6454,795,55923,977,795148,662,329743,311,645
-1-5-31-155-401-2,005-11,959-12,431-59,795-62,155-370,729-1,853,645-4,795,559-23,977,795-148,662,329-743,311,645

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