Q: What are the factor combinations of the number 12,362,245?

 A:
Positive:   1 x 123622455 x 24724497 x 176603535 x 353207107 x 115535535 x 23107749 x 165053301 x 3745
Negative: -1 x -12362245-5 x -2472449-7 x -1766035-35 x -353207-107 x -115535-535 x -23107-749 x -16505-3301 x -3745


How do I find the factor combinations of the number 12,362,245?

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 12,362,245, 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 12,362,245
-1 -12,362,245

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 12,362,245.

Example:
1 x 12,362,245 = 12,362,245
and
-1 x -12,362,245 = 12,362,245
Notice both answers equal 12,362,245

With that explanation out of the way, let's continue. Next, we take the number 12,362,245 and divide it by 2:

12,362,245 ÷ 2 = 6,181,122.5

If the quotient is a whole number, then 2 and 6,181,122.5 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 12,362,245
-1 -12,362,245

Now, we try dividing 12,362,245 by 3:

12,362,245 ÷ 3 = 4,120,748.3333

If the quotient is a whole number, then 3 and 4,120,748.3333 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 12,362,245
-1 -12,362,245

Let's try dividing by 4:

12,362,245 ÷ 4 = 3,090,561.25

If the quotient is a whole number, then 4 and 3,090,561.25 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 12,362,245
-1 12,362,245
Keep dividing by the next highest number until you cannot divide anymore.

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

157351075357493,3013,74516,50523,107115,535353,2071,766,0352,472,44912,362,245
-1-5-7-35-107-535-749-3,301-3,745-16,505-23,107-115,535-353,207-1,766,035-2,472,449-12,362,245

More Examples

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