Q: What are the factor combinations of the number 45,322,123?

 A:
Positive:   1 x 453221237 x 647458911 x 412019373 x 62085177 x 588599121 x 374563511 x 88693733 x 61831803 x 56441847 x 535095131 x 88335621 x 8063
Negative: -1 x -45322123-7 x -6474589-11 x -4120193-73 x -620851-77 x -588599-121 x -374563-511 x -88693-733 x -61831-803 x -56441-847 x -53509-5131 x -8833-5621 x -8063


How do I find the factor combinations of the number 45,322,123?

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 45,322,123, 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 45,322,123
-1 -45,322,123

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 45,322,123.

Example:
1 x 45,322,123 = 45,322,123
and
-1 x -45,322,123 = 45,322,123
Notice both answers equal 45,322,123

With that explanation out of the way, let's continue. Next, we take the number 45,322,123 and divide it by 2:

45,322,123 ÷ 2 = 22,661,061.5

If the quotient is a whole number, then 2 and 22,661,061.5 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 45,322,123
-1 -45,322,123

Now, we try dividing 45,322,123 by 3:

45,322,123 ÷ 3 = 15,107,374.3333

If the quotient is a whole number, then 3 and 15,107,374.3333 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 45,322,123
-1 -45,322,123

Let's try dividing by 4:

45,322,123 ÷ 4 = 11,330,530.75

If the quotient is a whole number, then 4 and 11,330,530.75 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 45,322,123
-1 45,322,123
Keep dividing by the next highest number until you cannot divide anymore.

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

171173771215117338038475,1315,6218,0638,83353,50956,44161,83188,693374,563588,599620,8514,120,1936,474,58945,322,123
-1-7-11-73-77-121-511-733-803-847-5,131-5,621-8,063-8,833-53,509-56,441-61,831-88,693-374,563-588,599-620,851-4,120,193-6,474,589-45,322,123

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