Q: What are the factor combinations of the number 104,121,155?

 A:
Positive:   1 x 1041211555 x 20824231103 x 1010885181 x 575255515 x 202177905 x 1150511117 x 932155585 x 18643
Negative: -1 x -104121155-5 x -20824231-103 x -1010885-181 x -575255-515 x -202177-905 x -115051-1117 x -93215-5585 x -18643


How do I find the factor combinations of the number 104,121,155?

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 104,121,155, 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.

1 104,121,155
-1 -104,121,155

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 104,121,155.

Example:
1 x 104,121,155 = 104,121,155
and
-1 x -104,121,155 = 104,121,155
Notice both answers equal 104,121,155

With that explanation out of the way, let's continue. Next, we take the number 104,121,155 and divide it by 2:

104,121,155 ÷ 2 = 52,060,577.5

If the quotient is a whole number, then 2 and 52,060,577.5 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:

1 104,121,155
-1 -104,121,155

Now, we try dividing 104,121,155 by 3:

104,121,155 ÷ 3 = 34,707,051.6667

If the quotient is a whole number, then 3 and 34,707,051.6667 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:

1 104,121,155
-1 -104,121,155

Let's try dividing by 4:

104,121,155 ÷ 4 = 26,030,288.75

If the quotient is a whole number, then 4 and 26,030,288.75 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:

1 104,121,155
-1 104,121,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151031815159051,1175,58518,64393,215115,051202,177575,2551,010,88520,824,231104,121,155
-1-5-103-181-515-905-1,117-5,585-18,643-93,215-115,051-202,177-575,255-1,010,885-20,824,231-104,121,155

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