Q: What are the factor combinations of the number 41,742,455?

 A:
Positive:   1 x 417424555 x 834849129 x 1439395145 x 287879479 x 87145601 x 694552395 x 174293005 x 13891
Negative: -1 x -41742455-5 x -8348491-29 x -1439395-145 x -287879-479 x -87145-601 x -69455-2395 x -17429-3005 x -13891


How do I find the factor combinations of the number 41,742,455?

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 41,742,455, 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 41,742,455
-1 -41,742,455

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 41,742,455.

Example:
1 x 41,742,455 = 41,742,455
and
-1 x -41,742,455 = 41,742,455
Notice both answers equal 41,742,455

With that explanation out of the way, let's continue. Next, we take the number 41,742,455 and divide it by 2:

41,742,455 ÷ 2 = 20,871,227.5

If the quotient is a whole number, then 2 and 20,871,227.5 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 41,742,455
-1 -41,742,455

Now, we try dividing 41,742,455 by 3:

41,742,455 ÷ 3 = 13,914,151.6667

If the quotient is a whole number, then 3 and 13,914,151.6667 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 41,742,455
-1 -41,742,455

Let's try dividing by 4:

41,742,455 ÷ 4 = 10,435,613.75

If the quotient is a whole number, then 4 and 10,435,613.75 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 41,742,455
-1 41,742,455
Keep dividing by the next highest number until you cannot divide anymore.

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

15291454796012,3953,00513,89117,42969,45587,145287,8791,439,3958,348,49141,742,455
-1-5-29-145-479-601-2,395-3,005-13,891-17,429-69,455-87,145-287,879-1,439,395-8,348,491-41,742,455

More Examples

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