Q: What are the factor combinations of the number 13,373,375?

 A:
Positive:   1 x 133733755 x 267467525 x 53493583 x 161125125 x 106987415 x 322251289 x 103752075 x 6445
Negative: -1 x -13373375-5 x -2674675-25 x -534935-83 x -161125-125 x -106987-415 x -32225-1289 x -10375-2075 x -6445


How do I find the factor combinations of the number 13,373,375?

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 13,373,375, 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 13,373,375
-1 -13,373,375

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 13,373,375.

Example:
1 x 13,373,375 = 13,373,375
and
-1 x -13,373,375 = 13,373,375
Notice both answers equal 13,373,375

With that explanation out of the way, let's continue. Next, we take the number 13,373,375 and divide it by 2:

13,373,375 ÷ 2 = 6,686,687.5

If the quotient is a whole number, then 2 and 6,686,687.5 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 13,373,375
-1 -13,373,375

Now, we try dividing 13,373,375 by 3:

13,373,375 ÷ 3 = 4,457,791.6667

If the quotient is a whole number, then 3 and 4,457,791.6667 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 13,373,375
-1 -13,373,375

Let's try dividing by 4:

13,373,375 ÷ 4 = 3,343,343.75

If the quotient is a whole number, then 4 and 3,343,343.75 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 13,373,375
-1 13,373,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525831254151,2892,0756,44510,37532,225106,987161,125534,9352,674,67513,373,375
-1-5-25-83-125-415-1,289-2,075-6,445-10,375-32,225-106,987-161,125-534,935-2,674,675-13,373,375

More Examples

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