Q: What are the factor combinations of the number 713,015,755?

 A:
Positive:   1 x 7130157555 x 14260315119 x 3752714523 x 3100068595 x 7505429115 x 6200137437 x 16316152185 x 326323
Negative: -1 x -713015755-5 x -142603151-19 x -37527145-23 x -31000685-95 x -7505429-115 x -6200137-437 x -1631615-2185 x -326323


How do I find the factor combinations of the number 713,015,755?

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 713,015,755, 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.

1 713,015,755
-1 -713,015,755

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 713,015,755.

Example:
1 x 713,015,755 = 713,015,755
and
-1 x -713,015,755 = 713,015,755
Notice both answers equal 713,015,755

With that explanation out of the way, let's continue. Next, we take the number 713,015,755 and divide it by 2:

713,015,755 ÷ 2 = 356,507,877.5

If the quotient is a whole number, then 2 and 356,507,877.5 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:

1 713,015,755
-1 -713,015,755

Now, we try dividing 713,015,755 by 3:

713,015,755 ÷ 3 = 237,671,918.3333

If the quotient is a whole number, then 3 and 237,671,918.3333 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:

1 713,015,755
-1 -713,015,755

Let's try dividing by 4:

713,015,755 ÷ 4 = 178,253,938.75

If the quotient is a whole number, then 4 and 178,253,938.75 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:

1 713,015,755
-1 713,015,755
Keep dividing by the next highest number until you cannot divide anymore.

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

151923951154372,185326,3231,631,6156,200,1377,505,42931,000,68537,527,145142,603,151713,015,755
-1-5-19-23-95-115-437-2,185-326,323-1,631,615-6,200,137-7,505,429-31,000,685-37,527,145-142,603,151-713,015,755

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