Q: What are the factor combinations of the number 104,041,015?

 A:
Positive:   1 x 1040410155 x 2080820313 x 800315565 x 1600631
Negative: -1 x -104041015-5 x -20808203-13 x -8003155-65 x -1600631


How do I find the factor combinations of the number 104,041,015?

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 104,041,015, 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.

1 104,041,015
-1 -104,041,015

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 104,041,015.

Example:
1 x 104,041,015 = 104,041,015
and
-1 x -104,041,015 = 104,041,015
Notice both answers equal 104,041,015

With that explanation out of the way, let's continue. Next, we take the number 104,041,015 and divide it by 2:

104,041,015 ÷ 2 = 52,020,507.5

If the quotient is a whole number, then 2 and 52,020,507.5 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:

1 104,041,015
-1 -104,041,015

Now, we try dividing 104,041,015 by 3:

104,041,015 ÷ 3 = 34,680,338.3333

If the quotient is a whole number, then 3 and 34,680,338.3333 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:

1 104,041,015
-1 -104,041,015

Let's try dividing by 4:

104,041,015 ÷ 4 = 26,010,253.75

If the quotient is a whole number, then 4 and 26,010,253.75 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:

1 104,041,015
-1 104,041,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,600,6318,003,15520,808,203104,041,015
-1-5-13-65-1,600,631-8,003,155-20,808,203-104,041,015

More Examples

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