Q: What are the factor combinations of the number 105,155,063?

 A:
Positive:   1 x 10515506313 x 808885119 x 5534477247 x 425729293 x 3588911453 x 723713809 x 276075567 x 18889
Negative: -1 x -105155063-13 x -8088851-19 x -5534477-247 x -425729-293 x -358891-1453 x -72371-3809 x -27607-5567 x -18889


How do I find the factor combinations of the number 105,155,063?

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 105,155,063, 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.

1 105,155,063
-1 -105,155,063

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 105,155,063.

Example:
1 x 105,155,063 = 105,155,063
and
-1 x -105,155,063 = 105,155,063
Notice both answers equal 105,155,063

With that explanation out of the way, let's continue. Next, we take the number 105,155,063 and divide it by 2:

105,155,063 ÷ 2 = 52,577,531.5

If the quotient is a whole number, then 2 and 52,577,531.5 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:

1 105,155,063
-1 -105,155,063

Now, we try dividing 105,155,063 by 3:

105,155,063 ÷ 3 = 35,051,687.6667

If the quotient is a whole number, then 3 and 35,051,687.6667 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:

1 105,155,063
-1 -105,155,063

Let's try dividing by 4:

105,155,063 ÷ 4 = 26,288,765.75

If the quotient is a whole number, then 4 and 26,288,765.75 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:

1 105,155,063
-1 105,155,063
Keep dividing by the next highest number until you cannot divide anymore.

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

113192472931,4533,8095,56718,88927,60772,371358,891425,7295,534,4778,088,851105,155,063
-1-13-19-247-293-1,453-3,809-5,567-18,889-27,607-72,371-358,891-425,729-5,534,477-8,088,851-105,155,063

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