Q: What are the factor combinations of the number 83,272,673?

 A:
Positive:   1 x 8327267311 x 757024323 x 362055147 x 1771759149 x 558877253 x 329141517 x 1610691081 x 770331639 x 508072209 x 376973427 x 242997003 x 11891
Negative: -1 x -83272673-11 x -7570243-23 x -3620551-47 x -1771759-149 x -558877-253 x -329141-517 x -161069-1081 x -77033-1639 x -50807-2209 x -37697-3427 x -24299-7003 x -11891


How do I find the factor combinations of the number 83,272,673?

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 83,272,673, 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 83,272,673
-1 -83,272,673

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 83,272,673.

Example:
1 x 83,272,673 = 83,272,673
and
-1 x -83,272,673 = 83,272,673
Notice both answers equal 83,272,673

With that explanation out of the way, let's continue. Next, we take the number 83,272,673 and divide it by 2:

83,272,673 ÷ 2 = 41,636,336.5

If the quotient is a whole number, then 2 and 41,636,336.5 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 83,272,673
-1 -83,272,673

Now, we try dividing 83,272,673 by 3:

83,272,673 ÷ 3 = 27,757,557.6667

If the quotient is a whole number, then 3 and 27,757,557.6667 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 83,272,673
-1 -83,272,673

Let's try dividing by 4:

83,272,673 ÷ 4 = 20,818,168.25

If the quotient is a whole number, then 4 and 20,818,168.25 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 83,272,673
-1 83,272,673
Keep dividing by the next highest number until you cannot divide anymore.

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

11123471492535171,0811,6392,2093,4277,00311,89124,29937,69750,80777,033161,069329,141558,8771,771,7593,620,5517,570,24383,272,673
-1-11-23-47-149-253-517-1,081-1,639-2,209-3,427-7,003-11,891-24,299-37,697-50,807-77,033-161,069-329,141-558,877-1,771,759-3,620,551-7,570,243-83,272,673

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