Q: What are the factor combinations of the number 41,635,165?

 A:
Positive:   1 x 416351655 x 832703311 x 378501513 x 320270555 x 75700365 x 640541143 x 291155715 x 58231
Negative: -1 x -41635165-5 x -8327033-11 x -3785015-13 x -3202705-55 x -757003-65 x -640541-143 x -291155-715 x -58231


How do I find the factor combinations of the number 41,635,165?

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 41,635,165, 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 41,635,165
-1 -41,635,165

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 41,635,165.

Example:
1 x 41,635,165 = 41,635,165
and
-1 x -41,635,165 = 41,635,165
Notice both answers equal 41,635,165

With that explanation out of the way, let's continue. Next, we take the number 41,635,165 and divide it by 2:

41,635,165 ÷ 2 = 20,817,582.5

If the quotient is a whole number, then 2 and 20,817,582.5 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 41,635,165
-1 -41,635,165

Now, we try dividing 41,635,165 by 3:

41,635,165 ÷ 3 = 13,878,388.3333

If the quotient is a whole number, then 3 and 13,878,388.3333 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 41,635,165
-1 -41,635,165

Let's try dividing by 4:

41,635,165 ÷ 4 = 10,408,791.25

If the quotient is a whole number, then 4 and 10,408,791.25 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 41,635,165
-1 41,635,165
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371558,231291,155640,541757,0033,202,7053,785,0158,327,03341,635,165
-1-5-11-13-55-65-143-715-58,231-291,155-640,541-757,003-3,202,705-3,785,015-8,327,033-41,635,165

More Examples

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