Q: What are the factor combinations of the number 104,026,015?

 A:
Positive:   1 x 1040260155 x 2080520353 x 196275579 x 1316785265 x 392551395 x 2633574187 x 248454969 x 20935
Negative: -1 x -104026015-5 x -20805203-53 x -1962755-79 x -1316785-265 x -392551-395 x -263357-4187 x -24845-4969 x -20935


How do I find the factor combinations of the number 104,026,015?

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 104,026,015, 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.

1 104,026,015
-1 -104,026,015

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 104,026,015.

Example:
1 x 104,026,015 = 104,026,015
and
-1 x -104,026,015 = 104,026,015
Notice both answers equal 104,026,015

With that explanation out of the way, let's continue. Next, we take the number 104,026,015 and divide it by 2:

104,026,015 ÷ 2 = 52,013,007.5

If the quotient is a whole number, then 2 and 52,013,007.5 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:

1 104,026,015
-1 -104,026,015

Now, we try dividing 104,026,015 by 3:

104,026,015 ÷ 3 = 34,675,338.3333

If the quotient is a whole number, then 3 and 34,675,338.3333 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:

1 104,026,015
-1 -104,026,015

Let's try dividing by 4:

104,026,015 ÷ 4 = 26,006,503.75

If the quotient is a whole number, then 4 and 26,006,503.75 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:

1 104,026,015
-1 104,026,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1553792653954,1874,96920,93524,845263,357392,5511,316,7851,962,75520,805,203104,026,015
-1-5-53-79-265-395-4,187-4,969-20,935-24,845-263,357-392,551-1,316,785-1,962,755-20,805,203-104,026,015

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