Q: What are the factor combinations of the number 340,444,225?

 A:
Positive:   1 x 3404442255 x 6808884511 x 3094947525 x 1361776955 x 6189895199 x 1710775275 x 1237979995 x 3421552189 x 1555254975 x 684316221 x 5472510945 x 31105
Negative: -1 x -340444225-5 x -68088845-11 x -30949475-25 x -13617769-55 x -6189895-199 x -1710775-275 x -1237979-995 x -342155-2189 x -155525-4975 x -68431-6221 x -54725-10945 x -31105


How do I find the factor combinations of the number 340,444,225?

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 340,444,225, 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.

1 340,444,225
-1 -340,444,225

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 340,444,225.

Example:
1 x 340,444,225 = 340,444,225
and
-1 x -340,444,225 = 340,444,225
Notice both answers equal 340,444,225

With that explanation out of the way, let's continue. Next, we take the number 340,444,225 and divide it by 2:

340,444,225 ÷ 2 = 170,222,112.5

If the quotient is a whole number, then 2 and 170,222,112.5 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:

1 340,444,225
-1 -340,444,225

Now, we try dividing 340,444,225 by 3:

340,444,225 ÷ 3 = 113,481,408.3333

If the quotient is a whole number, then 3 and 113,481,408.3333 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:

1 340,444,225
-1 -340,444,225

Let's try dividing by 4:

340,444,225 ÷ 4 = 85,111,056.25

If the quotient is a whole number, then 4 and 85,111,056.25 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:

1 340,444,225
-1 340,444,225
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551992759952,1894,9756,22110,94531,10554,72568,431155,525342,1551,237,9791,710,7756,189,89513,617,76930,949,47568,088,845340,444,225
-1-5-11-25-55-199-275-995-2,189-4,975-6,221-10,945-31,105-54,725-68,431-155,525-342,155-1,237,979-1,710,775-6,189,895-13,617,769-30,949,475-68,088,845-340,444,225

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