Q: What are the factor combinations of the number 50,201,525?

 A:
Positive:   1 x 502015255 x 1004030511 x 456377523 x 218267525 x 200806155 x 912755115 x 436535253 x 198425275 x 182551575 x 873071265 x 396856325 x 7937
Negative: -1 x -50201525-5 x -10040305-11 x -4563775-23 x -2182675-25 x -2008061-55 x -912755-115 x -436535-253 x -198425-275 x -182551-575 x -87307-1265 x -39685-6325 x -7937


How do I find the factor combinations of the number 50,201,525?

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 50,201,525, 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 50,201,525
-1 -50,201,525

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 50,201,525.

Example:
1 x 50,201,525 = 50,201,525
and
-1 x -50,201,525 = 50,201,525
Notice both answers equal 50,201,525

With that explanation out of the way, let's continue. Next, we take the number 50,201,525 and divide it by 2:

50,201,525 ÷ 2 = 25,100,762.5

If the quotient is a whole number, then 2 and 25,100,762.5 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 50,201,525
-1 -50,201,525

Now, we try dividing 50,201,525 by 3:

50,201,525 ÷ 3 = 16,733,841.6667

If the quotient is a whole number, then 3 and 16,733,841.6667 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 50,201,525
-1 -50,201,525

Let's try dividing by 4:

50,201,525 ÷ 4 = 12,550,381.25

If the quotient is a whole number, then 4 and 12,550,381.25 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 50,201,525
-1 50,201,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15112325551152532755751,2656,3257,93739,68587,307182,551198,425436,535912,7552,008,0612,182,6754,563,77510,040,30550,201,525
-1-5-11-23-25-55-115-253-275-575-1,265-6,325-7,937-39,685-87,307-182,551-198,425-436,535-912,755-2,008,061-2,182,675-4,563,775-10,040,305-50,201,525

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