Q: What are the factor combinations of the number 541,310,165?

 A:
Positive:   1 x 5413101655 x 10826203311 x 4921001555 x 98420033067 x 1764953209 x 16868515335 x 3529916045 x 33737
Negative: -1 x -541310165-5 x -108262033-11 x -49210015-55 x -9842003-3067 x -176495-3209 x -168685-15335 x -35299-16045 x -33737


How do I find the factor combinations of the number 541,310,165?

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 541,310,165, 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.

1 541,310,165
-1 -541,310,165

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 541,310,165.

Example:
1 x 541,310,165 = 541,310,165
and
-1 x -541,310,165 = 541,310,165
Notice both answers equal 541,310,165

With that explanation out of the way, let's continue. Next, we take the number 541,310,165 and divide it by 2:

541,310,165 ÷ 2 = 270,655,082.5

If the quotient is a whole number, then 2 and 270,655,082.5 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:

1 541,310,165
-1 -541,310,165

Now, we try dividing 541,310,165 by 3:

541,310,165 ÷ 3 = 180,436,721.6667

If the quotient is a whole number, then 3 and 180,436,721.6667 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:

1 541,310,165
-1 -541,310,165

Let's try dividing by 4:

541,310,165 ÷ 4 = 135,327,541.25

If the quotient is a whole number, then 4 and 135,327,541.25 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:

1 541,310,165
-1 541,310,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553,0673,20915,33516,04533,73735,299168,685176,4959,842,00349,210,015108,262,033541,310,165
-1-5-11-55-3,067-3,209-15,335-16,045-33,737-35,299-168,685-176,495-9,842,003-49,210,015-108,262,033-541,310,165

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