Q: What are the factor combinations of the number 712,466,699?

 A:
Positive:   1 x 7124666997 x 10178095723 x 3097681343 x 16568993161 x 4425259301 x 2366999989 x 7203916923 x 102913
Negative: -1 x -712466699-7 x -101780957-23 x -30976813-43 x -16568993-161 x -4425259-301 x -2366999-989 x -720391-6923 x -102913


How do I find the factor combinations of the number 712,466,699?

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 712,466,699, 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.

1 712,466,699
-1 -712,466,699

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 712,466,699.

Example:
1 x 712,466,699 = 712,466,699
and
-1 x -712,466,699 = 712,466,699
Notice both answers equal 712,466,699

With that explanation out of the way, let's continue. Next, we take the number 712,466,699 and divide it by 2:

712,466,699 ÷ 2 = 356,233,349.5

If the quotient is a whole number, then 2 and 356,233,349.5 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:

1 712,466,699
-1 -712,466,699

Now, we try dividing 712,466,699 by 3:

712,466,699 ÷ 3 = 237,488,899.6667

If the quotient is a whole number, then 3 and 237,488,899.6667 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:

1 712,466,699
-1 -712,466,699

Let's try dividing by 4:

712,466,699 ÷ 4 = 178,116,674.75

If the quotient is a whole number, then 4 and 178,116,674.75 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:

1 712,466,699
-1 712,466,699
Keep dividing by the next highest number until you cannot divide anymore.

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

1723431613019896,923102,913720,3912,366,9994,425,25916,568,99330,976,813101,780,957712,466,699
-1-7-23-43-161-301-989-6,923-102,913-720,391-2,366,999-4,425,259-16,568,993-30,976,813-101,780,957-712,466,699

More Examples

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