Q: What are the factor combinations of the number 52,213,145?

 A:
Positive:   1 x 522131455 x 1044262931 x 1684295155 x 336859229 x 2280051145 x 456011471 x 354957099 x 7355
Negative: -1 x -52213145-5 x -10442629-31 x -1684295-155 x -336859-229 x -228005-1145 x -45601-1471 x -35495-7099 x -7355


How do I find the factor combinations of the number 52,213,145?

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 52,213,145, 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 52,213,145
-1 -52,213,145

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 52,213,145.

Example:
1 x 52,213,145 = 52,213,145
and
-1 x -52,213,145 = 52,213,145
Notice both answers equal 52,213,145

With that explanation out of the way, let's continue. Next, we take the number 52,213,145 and divide it by 2:

52,213,145 ÷ 2 = 26,106,572.5

If the quotient is a whole number, then 2 and 26,106,572.5 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 52,213,145
-1 -52,213,145

Now, we try dividing 52,213,145 by 3:

52,213,145 ÷ 3 = 17,404,381.6667

If the quotient is a whole number, then 3 and 17,404,381.6667 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 52,213,145
-1 -52,213,145

Let's try dividing by 4:

52,213,145 ÷ 4 = 13,053,286.25

If the quotient is a whole number, then 4 and 13,053,286.25 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 52,213,145
-1 52,213,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15311552291,1451,4717,0997,35535,49545,601228,005336,8591,684,29510,442,62952,213,145
-1-5-31-155-229-1,145-1,471-7,099-7,355-35,495-45,601-228,005-336,859-1,684,295-10,442,629-52,213,145

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