Q: What are the factor combinations of the number 50,002,535?

 A:
Positive:   1 x 500025355 x 1000050711 x 454568531 x 161298555 x 909137155 x 322597341 x 1466351705 x 29327
Negative: -1 x -50002535-5 x -10000507-11 x -4545685-31 x -1612985-55 x -909137-155 x -322597-341 x -146635-1705 x -29327


How do I find the factor combinations of the number 50,002,535?

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 50,002,535, 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 50,002,535
-1 -50,002,535

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 50,002,535.

Example:
1 x 50,002,535 = 50,002,535
and
-1 x -50,002,535 = 50,002,535
Notice both answers equal 50,002,535

With that explanation out of the way, let's continue. Next, we take the number 50,002,535 and divide it by 2:

50,002,535 ÷ 2 = 25,001,267.5

If the quotient is a whole number, then 2 and 25,001,267.5 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 50,002,535
-1 -50,002,535

Now, we try dividing 50,002,535 by 3:

50,002,535 ÷ 3 = 16,667,511.6667

If the quotient is a whole number, then 3 and 16,667,511.6667 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 50,002,535
-1 -50,002,535

Let's try dividing by 4:

50,002,535 ÷ 4 = 12,500,633.75

If the quotient is a whole number, then 4 and 12,500,633.75 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 50,002,535
-1 50,002,535
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,70529,327146,635322,597909,1371,612,9854,545,68510,000,50750,002,535
-1-5-11-31-55-155-341-1,705-29,327-146,635-322,597-909,137-1,612,985-4,545,685-10,000,507-50,002,535

More Examples

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