Q: What are the factor combinations of the number 743,788,471?

 A:
Positive:   1 x 74378847117 x 437522632647 x 28099316529 x 44999
Negative: -1 x -743788471-17 x -43752263-2647 x -280993-16529 x -44999


How do I find the factor combinations of the number 743,788,471?

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 743,788,471, 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.

1 743,788,471
-1 -743,788,471

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 743,788,471.

Example:
1 x 743,788,471 = 743,788,471
and
-1 x -743,788,471 = 743,788,471
Notice both answers equal 743,788,471

With that explanation out of the way, let's continue. Next, we take the number 743,788,471 and divide it by 2:

743,788,471 ÷ 2 = 371,894,235.5

If the quotient is a whole number, then 2 and 371,894,235.5 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:

1 743,788,471
-1 -743,788,471

Now, we try dividing 743,788,471 by 3:

743,788,471 ÷ 3 = 247,929,490.3333

If the quotient is a whole number, then 3 and 247,929,490.3333 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:

1 743,788,471
-1 -743,788,471

Let's try dividing by 4:

743,788,471 ÷ 4 = 185,947,117.75

If the quotient is a whole number, then 4 and 185,947,117.75 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:

1 743,788,471
-1 743,788,471
Keep dividing by the next highest number until you cannot divide anymore.

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

1172,64716,52944,999280,99343,752,263743,788,471
-1-17-2,647-16,529-44,999-280,993-43,752,263-743,788,471

More Examples

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