Q: What are the factor combinations of the number 41,410,655?

 A:
Positive:   1 x 414106555 x 828213111 x 376460513 x 318543555 x 75292165 x 637087143 x 289585715 x 57917
Negative: -1 x -41410655-5 x -8282131-11 x -3764605-13 x -3185435-55 x -752921-65 x -637087-143 x -289585-715 x -57917


How do I find the factor combinations of the number 41,410,655?

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 41,410,655, 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 41,410,655
-1 -41,410,655

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 41,410,655.

Example:
1 x 41,410,655 = 41,410,655
and
-1 x -41,410,655 = 41,410,655
Notice both answers equal 41,410,655

With that explanation out of the way, let's continue. Next, we take the number 41,410,655 and divide it by 2:

41,410,655 ÷ 2 = 20,705,327.5

If the quotient is a whole number, then 2 and 20,705,327.5 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 41,410,655
-1 -41,410,655

Now, we try dividing 41,410,655 by 3:

41,410,655 ÷ 3 = 13,803,551.6667

If the quotient is a whole number, then 3 and 13,803,551.6667 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 41,410,655
-1 -41,410,655

Let's try dividing by 4:

41,410,655 ÷ 4 = 10,352,663.75

If the quotient is a whole number, then 4 and 10,352,663.75 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 41,410,655
-1 41,410,655
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371557,917289,585637,087752,9213,185,4353,764,6058,282,13141,410,655
-1-5-11-13-55-65-143-715-57,917-289,585-637,087-752,921-3,185,435-3,764,605-8,282,131-41,410,655

More Examples

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