Q: What are the factor combinations of the number 83,836,945?

 A:
Positive:   1 x 838369455 x 1676738917 x 493158585 x 986317613 x 1367651609 x 521053065 x 273538045 x 10421
Negative: -1 x -83836945-5 x -16767389-17 x -4931585-85 x -986317-613 x -136765-1609 x -52105-3065 x -27353-8045 x -10421


How do I find the factor combinations of the number 83,836,945?

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 83,836,945, 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 83,836,945
-1 -83,836,945

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 83,836,945.

Example:
1 x 83,836,945 = 83,836,945
and
-1 x -83,836,945 = 83,836,945
Notice both answers equal 83,836,945

With that explanation out of the way, let's continue. Next, we take the number 83,836,945 and divide it by 2:

83,836,945 ÷ 2 = 41,918,472.5

If the quotient is a whole number, then 2 and 41,918,472.5 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 83,836,945
-1 -83,836,945

Now, we try dividing 83,836,945 by 3:

83,836,945 ÷ 3 = 27,945,648.3333

If the quotient is a whole number, then 3 and 27,945,648.3333 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 83,836,945
-1 -83,836,945

Let's try dividing by 4:

83,836,945 ÷ 4 = 20,959,236.25

If the quotient is a whole number, then 4 and 20,959,236.25 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 83,836,945
-1 83,836,945
Keep dividing by the next highest number until you cannot divide anymore.

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

1517856131,6093,0658,04510,42127,35352,105136,765986,3174,931,58516,767,38983,836,945
-1-5-17-85-613-1,609-3,065-8,045-10,421-27,353-52,105-136,765-986,317-4,931,585-16,767,389-83,836,945

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