Q: What are the factor combinations of the number 737,641,411?

 A:
Positive:   1 x 73764141113 x 567416471499 x 49208919487 x 37853
Negative: -1 x -737641411-13 x -56741647-1499 x -492089-19487 x -37853


How do I find the factor combinations of the number 737,641,411?

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 737,641,411, 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.

1 737,641,411
-1 -737,641,411

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 737,641,411.

Example:
1 x 737,641,411 = 737,641,411
and
-1 x -737,641,411 = 737,641,411
Notice both answers equal 737,641,411

With that explanation out of the way, let's continue. Next, we take the number 737,641,411 and divide it by 2:

737,641,411 ÷ 2 = 368,820,705.5

If the quotient is a whole number, then 2 and 368,820,705.5 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:

1 737,641,411
-1 -737,641,411

Now, we try dividing 737,641,411 by 3:

737,641,411 ÷ 3 = 245,880,470.3333

If the quotient is a whole number, then 3 and 245,880,470.3333 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:

1 737,641,411
-1 -737,641,411

Let's try dividing by 4:

737,641,411 ÷ 4 = 184,410,352.75

If the quotient is a whole number, then 4 and 184,410,352.75 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:

1 737,641,411
-1 737,641,411
Keep dividing by the next highest number until you cannot divide anymore.

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

1131,49919,48737,853492,08956,741,647737,641,411
-1-13-1,499-19,487-37,853-492,089-56,741,647-737,641,411

More Examples

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