Q: What are the factor combinations of the number 110,740,861?

 A:
Positive:   1 x 1107408617 x 1582012311 x 1006735177 x 1438193601 x 1842612393 x 462774207 x 263236611 x 16751
Negative: -1 x -110740861-7 x -15820123-11 x -10067351-77 x -1438193-601 x -184261-2393 x -46277-4207 x -26323-6611 x -16751


How do I find the factor combinations of the number 110,740,861?

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 110,740,861, 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.

1 110,740,861
-1 -110,740,861

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 110,740,861.

Example:
1 x 110,740,861 = 110,740,861
and
-1 x -110,740,861 = 110,740,861
Notice both answers equal 110,740,861

With that explanation out of the way, let's continue. Next, we take the number 110,740,861 and divide it by 2:

110,740,861 ÷ 2 = 55,370,430.5

If the quotient is a whole number, then 2 and 55,370,430.5 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:

1 110,740,861
-1 -110,740,861

Now, we try dividing 110,740,861 by 3:

110,740,861 ÷ 3 = 36,913,620.3333

If the quotient is a whole number, then 3 and 36,913,620.3333 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:

1 110,740,861
-1 -110,740,861

Let's try dividing by 4:

110,740,861 ÷ 4 = 27,685,215.25

If the quotient is a whole number, then 4 and 27,685,215.25 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:

1 110,740,861
-1 110,740,861
Keep dividing by the next highest number until you cannot divide anymore.

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

1711776012,3934,2076,61116,75126,32346,277184,2611,438,19310,067,35115,820,123110,740,861
-1-7-11-77-601-2,393-4,207-6,611-16,751-26,323-46,277-184,261-1,438,193-10,067,351-15,820,123-110,740,861

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