Q: What are the factor combinations of the number 110,609,431?

 A:
Positive:   1 x 11060943119 x 582154941 x 2697791107 x 1033733779 x 1419891327 x 833532033 x 544074387 x 25213
Negative: -1 x -110609431-19 x -5821549-41 x -2697791-107 x -1033733-779 x -141989-1327 x -83353-2033 x -54407-4387 x -25213


How do I find the factor combinations of the number 110,609,431?

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 110,609,431, 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.

1 110,609,431
-1 -110,609,431

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 110,609,431.

Example:
1 x 110,609,431 = 110,609,431
and
-1 x -110,609,431 = 110,609,431
Notice both answers equal 110,609,431

With that explanation out of the way, let's continue. Next, we take the number 110,609,431 and divide it by 2:

110,609,431 ÷ 2 = 55,304,715.5

If the quotient is a whole number, then 2 and 55,304,715.5 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:

1 110,609,431
-1 -110,609,431

Now, we try dividing 110,609,431 by 3:

110,609,431 ÷ 3 = 36,869,810.3333

If the quotient is a whole number, then 3 and 36,869,810.3333 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:

1 110,609,431
-1 -110,609,431

Let's try dividing by 4:

110,609,431 ÷ 4 = 27,652,357.75

If the quotient is a whole number, then 4 and 27,652,357.75 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:

1 110,609,431
-1 110,609,431
Keep dividing by the next highest number until you cannot divide anymore.

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

119411077791,3272,0334,38725,21354,40783,353141,9891,033,7332,697,7915,821,549110,609,431
-1-19-41-107-779-1,327-2,033-4,387-25,213-54,407-83,353-141,989-1,033,733-2,697,791-5,821,549-110,609,431

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