Q: What are the factor combinations of the number 50,002,105?

 A:
Positive:   1 x 500021055 x 1000042171 x 70425583 x 602435355 x 140851415 x 1204871697 x 294655893 x 8485
Negative: -1 x -50002105-5 x -10000421-71 x -704255-83 x -602435-355 x -140851-415 x -120487-1697 x -29465-5893 x -8485


How do I find the factor combinations of the number 50,002,105?

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 50,002,105, 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 50,002,105
-1 -50,002,105

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 50,002,105.

Example:
1 x 50,002,105 = 50,002,105
and
-1 x -50,002,105 = 50,002,105
Notice both answers equal 50,002,105

With that explanation out of the way, let's continue. Next, we take the number 50,002,105 and divide it by 2:

50,002,105 ÷ 2 = 25,001,052.5

If the quotient is a whole number, then 2 and 25,001,052.5 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 50,002,105
-1 -50,002,105

Now, we try dividing 50,002,105 by 3:

50,002,105 ÷ 3 = 16,667,368.3333

If the quotient is a whole number, then 3 and 16,667,368.3333 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 50,002,105
-1 -50,002,105

Let's try dividing by 4:

50,002,105 ÷ 4 = 12,500,526.25

If the quotient is a whole number, then 4 and 12,500,526.25 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 50,002,105
-1 50,002,105
Keep dividing by the next highest number until you cannot divide anymore.

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

1571833554151,6975,8938,48529,465120,487140,851602,435704,25510,000,42150,002,105
-1-5-71-83-355-415-1,697-5,893-8,485-29,465-120,487-140,851-602,435-704,255-10,000,421-50,002,105

More Examples

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