Q: What are the factor combinations of the number 52,212,125?

 A:
Positive:   1 x 522121255 x 104424257 x 745887525 x 208848535 x 1491775125 x 417697175 x 298355875 x 59671
Negative: -1 x -52212125-5 x -10442425-7 x -7458875-25 x -2088485-35 x -1491775-125 x -417697-175 x -298355-875 x -59671


How do I find the factor combinations of the number 52,212,125?

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 52,212,125, 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 52,212,125
-1 -52,212,125

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 52,212,125.

Example:
1 x 52,212,125 = 52,212,125
and
-1 x -52,212,125 = 52,212,125
Notice both answers equal 52,212,125

With that explanation out of the way, let's continue. Next, we take the number 52,212,125 and divide it by 2:

52,212,125 ÷ 2 = 26,106,062.5

If the quotient is a whole number, then 2 and 26,106,062.5 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 52,212,125
-1 -52,212,125

Now, we try dividing 52,212,125 by 3:

52,212,125 ÷ 3 = 17,404,041.6667

If the quotient is a whole number, then 3 and 17,404,041.6667 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 52,212,125
-1 -52,212,125

Let's try dividing by 4:

52,212,125 ÷ 4 = 13,053,031.25

If the quotient is a whole number, then 4 and 13,053,031.25 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 52,212,125
-1 52,212,125
Keep dividing by the next highest number until you cannot divide anymore.

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

157253512517587559,671298,355417,6971,491,7752,088,4857,458,87510,442,42552,212,125
-1-5-7-25-35-125-175-875-59,671-298,355-417,697-1,491,775-2,088,485-7,458,875-10,442,425-52,212,125

More Examples

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