Q: What are the factor combinations of the number 104,120,195?

 A:
Positive:   1 x 1041201955 x 2082403923 x 4526965115 x 905393709 x 1468551277 x 815353545 x 293716385 x 16307
Negative: -1 x -104120195-5 x -20824039-23 x -4526965-115 x -905393-709 x -146855-1277 x -81535-3545 x -29371-6385 x -16307


How do I find the factor combinations of the number 104,120,195?

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 104,120,195, 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.

1 104,120,195
-1 -104,120,195

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 104,120,195.

Example:
1 x 104,120,195 = 104,120,195
and
-1 x -104,120,195 = 104,120,195
Notice both answers equal 104,120,195

With that explanation out of the way, let's continue. Next, we take the number 104,120,195 and divide it by 2:

104,120,195 ÷ 2 = 52,060,097.5

If the quotient is a whole number, then 2 and 52,060,097.5 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:

1 104,120,195
-1 -104,120,195

Now, we try dividing 104,120,195 by 3:

104,120,195 ÷ 3 = 34,706,731.6667

If the quotient is a whole number, then 3 and 34,706,731.6667 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:

1 104,120,195
-1 -104,120,195

Let's try dividing by 4:

104,120,195 ÷ 4 = 26,030,048.75

If the quotient is a whole number, then 4 and 26,030,048.75 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:

1 104,120,195
-1 104,120,195
Keep dividing by the next highest number until you cannot divide anymore.

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

15231157091,2773,5456,38516,30729,37181,535146,855905,3934,526,96520,824,039104,120,195
-1-5-23-115-709-1,277-3,545-6,385-16,307-29,371-81,535-146,855-905,393-4,526,965-20,824,039-104,120,195

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