Q: What are the factor combinations of the number 3,436,225?

 A:
Positive:   1 x 34362255 x 68724513 x 26432525 x 13744965 x 5286597 x 35425109 x 31525325 x 10573485 x 7085545 x 63051261 x 27251417 x 2425
Negative: -1 x -3436225-5 x -687245-13 x -264325-25 x -137449-65 x -52865-97 x -35425-109 x -31525-325 x -10573-485 x -7085-545 x -6305-1261 x -2725-1417 x -2425


How do I find the factor combinations of the number 3,436,225?

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 3,436,225, 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 3,436,225
-1 -3,436,225

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 3,436,225.

Example:
1 x 3,436,225 = 3,436,225
and
-1 x -3,436,225 = 3,436,225
Notice both answers equal 3,436,225

With that explanation out of the way, let's continue. Next, we take the number 3,436,225 and divide it by 2:

3,436,225 ÷ 2 = 1,718,112.5

If the quotient is a whole number, then 2 and 1,718,112.5 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 3,436,225
-1 -3,436,225

Now, we try dividing 3,436,225 by 3:

3,436,225 ÷ 3 = 1,145,408.3333

If the quotient is a whole number, then 3 and 1,145,408.3333 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 3,436,225
-1 -3,436,225

Let's try dividing by 4:

3,436,225 ÷ 4 = 859,056.25

If the quotient is a whole number, then 4 and 859,056.25 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 3,436,225
-1 3,436,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15132565971093254855451,2611,4172,4252,7256,3057,08510,57331,52535,42552,865137,449264,325687,2453,436,225
-1-5-13-25-65-97-109-325-485-545-1,261-1,417-2,425-2,725-6,305-7,085-10,573-31,525-35,425-52,865-137,449-264,325-687,245-3,436,225

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