Q: What are the factor combinations of the number 104,041,055?

 A:
Positive:   1 x 1040410555 x 2080821119 x 547584595 x 1095169
Negative: -1 x -104041055-5 x -20808211-19 x -5475845-95 x -1095169


How do I find the factor combinations of the number 104,041,055?

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 104,041,055, 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.

1 104,041,055
-1 -104,041,055

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 104,041,055.

Example:
1 x 104,041,055 = 104,041,055
and
-1 x -104,041,055 = 104,041,055
Notice both answers equal 104,041,055

With that explanation out of the way, let's continue. Next, we take the number 104,041,055 and divide it by 2:

104,041,055 ÷ 2 = 52,020,527.5

If the quotient is a whole number, then 2 and 52,020,527.5 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:

1 104,041,055
-1 -104,041,055

Now, we try dividing 104,041,055 by 3:

104,041,055 ÷ 3 = 34,680,351.6667

If the quotient is a whole number, then 3 and 34,680,351.6667 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:

1 104,041,055
-1 -104,041,055

Let's try dividing by 4:

104,041,055 ÷ 4 = 26,010,263.75

If the quotient is a whole number, then 4 and 26,010,263.75 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:

1 104,041,055
-1 104,041,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951,095,1695,475,84520,808,211104,041,055
-1-5-19-95-1,095,169-5,475,845-20,808,211-104,041,055

More Examples

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