Q: What are the factor combinations of the number 712,740,103?

 A:
Positive:   1 x 71274010319 x 3751263771 x 10038593307 x 23216291349 x 5283471721 x 4141435833 x 12219121797 x 32699
Negative: -1 x -712740103-19 x -37512637-71 x -10038593-307 x -2321629-1349 x -528347-1721 x -414143-5833 x -122191-21797 x -32699


How do I find the factor combinations of the number 712,740,103?

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 712,740,103, 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.

1 712,740,103
-1 -712,740,103

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 712,740,103.

Example:
1 x 712,740,103 = 712,740,103
and
-1 x -712,740,103 = 712,740,103
Notice both answers equal 712,740,103

With that explanation out of the way, let's continue. Next, we take the number 712,740,103 and divide it by 2:

712,740,103 ÷ 2 = 356,370,051.5

If the quotient is a whole number, then 2 and 356,370,051.5 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:

1 712,740,103
-1 -712,740,103

Now, we try dividing 712,740,103 by 3:

712,740,103 ÷ 3 = 237,580,034.3333

If the quotient is a whole number, then 3 and 237,580,034.3333 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:

1 712,740,103
-1 -712,740,103

Let's try dividing by 4:

712,740,103 ÷ 4 = 178,185,025.75

If the quotient is a whole number, then 4 and 178,185,025.75 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:

1 712,740,103
-1 712,740,103
Keep dividing by the next highest number until you cannot divide anymore.

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

119713071,3491,7215,83321,79732,699122,191414,143528,3472,321,62910,038,59337,512,637712,740,103
-1-19-71-307-1,349-1,721-5,833-21,797-32,699-122,191-414,143-528,347-2,321,629-10,038,593-37,512,637-712,740,103

More Examples

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