Q: What are the factor combinations of the number 736,063,559?

 A:
Positive:   1 x 7360635597 x 10515193711 x 6691486977 x 9559267653 x 11272034571 x 1610297183 x 10247314639 x 50281
Negative: -1 x -736063559-7 x -105151937-11 x -66914869-77 x -9559267-653 x -1127203-4571 x -161029-7183 x -102473-14639 x -50281


How do I find the factor combinations of the number 736,063,559?

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 736,063,559, 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.

1 736,063,559
-1 -736,063,559

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 736,063,559.

Example:
1 x 736,063,559 = 736,063,559
and
-1 x -736,063,559 = 736,063,559
Notice both answers equal 736,063,559

With that explanation out of the way, let's continue. Next, we take the number 736,063,559 and divide it by 2:

736,063,559 ÷ 2 = 368,031,779.5

If the quotient is a whole number, then 2 and 368,031,779.5 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:

1 736,063,559
-1 -736,063,559

Now, we try dividing 736,063,559 by 3:

736,063,559 ÷ 3 = 245,354,519.6667

If the quotient is a whole number, then 3 and 245,354,519.6667 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:

1 736,063,559
-1 -736,063,559

Let's try dividing by 4:

736,063,559 ÷ 4 = 184,015,889.75

If the quotient is a whole number, then 4 and 184,015,889.75 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:

1 736,063,559
-1 736,063,559
Keep dividing by the next highest number until you cannot divide anymore.

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

1711776534,5717,18314,63950,281102,473161,0291,127,2039,559,26766,914,869105,151,937736,063,559
-1-7-11-77-653-4,571-7,183-14,639-50,281-102,473-161,029-1,127,203-9,559,267-66,914,869-105,151,937-736,063,559

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