Q: What are the factor combinations of the number 72,347,065?

 A:
Positive:   1 x 723470655 x 144694137 x 1033529535 x 2067059911 x 794152269 x 318854555 x 158836377 x 11345
Negative: -1 x -72347065-5 x -14469413-7 x -10335295-35 x -2067059-911 x -79415-2269 x -31885-4555 x -15883-6377 x -11345


How do I find the factor combinations of the number 72,347,065?

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 72,347,065, 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 72,347,065
-1 -72,347,065

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 72,347,065.

Example:
1 x 72,347,065 = 72,347,065
and
-1 x -72,347,065 = 72,347,065
Notice both answers equal 72,347,065

With that explanation out of the way, let's continue. Next, we take the number 72,347,065 and divide it by 2:

72,347,065 ÷ 2 = 36,173,532.5

If the quotient is a whole number, then 2 and 36,173,532.5 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 72,347,065
-1 -72,347,065

Now, we try dividing 72,347,065 by 3:

72,347,065 ÷ 3 = 24,115,688.3333

If the quotient is a whole number, then 3 and 24,115,688.3333 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 72,347,065
-1 -72,347,065

Let's try dividing by 4:

72,347,065 ÷ 4 = 18,086,766.25

If the quotient is a whole number, then 4 and 18,086,766.25 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 72,347,065
-1 72,347,065
Keep dividing by the next highest number until you cannot divide anymore.

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

157359112,2694,5556,37711,34515,88331,88579,4152,067,05910,335,29514,469,41372,347,065
-1-5-7-35-911-2,269-4,555-6,377-11,345-15,883-31,885-79,415-2,067,059-10,335,295-14,469,413-72,347,065

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