Q: What are the factor combinations of the number 104,115,143?

 A:
Positive:   1 x 10411514311 x 946501331 x 3358553101 x 1030843341 x 3053231111 x 937133023 x 344413131 x 33253
Negative: -1 x -104115143-11 x -9465013-31 x -3358553-101 x -1030843-341 x -305323-1111 x -93713-3023 x -34441-3131 x -33253


How do I find the factor combinations of the number 104,115,143?

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 104,115,143, 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.

1 104,115,143
-1 -104,115,143

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 104,115,143.

Example:
1 x 104,115,143 = 104,115,143
and
-1 x -104,115,143 = 104,115,143
Notice both answers equal 104,115,143

With that explanation out of the way, let's continue. Next, we take the number 104,115,143 and divide it by 2:

104,115,143 ÷ 2 = 52,057,571.5

If the quotient is a whole number, then 2 and 52,057,571.5 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:

1 104,115,143
-1 -104,115,143

Now, we try dividing 104,115,143 by 3:

104,115,143 ÷ 3 = 34,705,047.6667

If the quotient is a whole number, then 3 and 34,705,047.6667 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:

1 104,115,143
-1 -104,115,143

Let's try dividing by 4:

104,115,143 ÷ 4 = 26,028,785.75

If the quotient is a whole number, then 4 and 26,028,785.75 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:

1 104,115,143
-1 104,115,143
Keep dividing by the next highest number until you cannot divide anymore.

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

111311013411,1113,0233,13133,25334,44193,713305,3231,030,8433,358,5539,465,013104,115,143
-1-11-31-101-341-1,111-3,023-3,131-33,253-34,441-93,713-305,323-1,030,843-3,358,553-9,465,013-104,115,143

More Examples

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