Q: What are the factor combinations of the number 6,947,725?

 A:
Positive:   1 x 69477255 x 138954523 x 30207525 x 27790943 x 161575115 x 60415215 x 32315281 x 24725575 x 12083989 x 70251075 x 64631405 x 4945
Negative: -1 x -6947725-5 x -1389545-23 x -302075-25 x -277909-43 x -161575-115 x -60415-215 x -32315-281 x -24725-575 x -12083-989 x -7025-1075 x -6463-1405 x -4945


How do I find the factor combinations of the number 6,947,725?

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 6,947,725, 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 6,947,725
-1 -6,947,725

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 6,947,725.

Example:
1 x 6,947,725 = 6,947,725
and
-1 x -6,947,725 = 6,947,725
Notice both answers equal 6,947,725

With that explanation out of the way, let's continue. Next, we take the number 6,947,725 and divide it by 2:

6,947,725 ÷ 2 = 3,473,862.5

If the quotient is a whole number, then 2 and 3,473,862.5 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 6,947,725
-1 -6,947,725

Now, we try dividing 6,947,725 by 3:

6,947,725 ÷ 3 = 2,315,908.3333

If the quotient is a whole number, then 3 and 2,315,908.3333 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 6,947,725
-1 -6,947,725

Let's try dividing by 4:

6,947,725 ÷ 4 = 1,736,931.25

If the quotient is a whole number, then 4 and 1,736,931.25 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 6,947,725
-1 6,947,725
Keep dividing by the next highest number until you cannot divide anymore.

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

152325431152152815759891,0751,4054,9456,4637,02512,08324,72532,31560,415161,575277,909302,0751,389,5456,947,725
-1-5-23-25-43-115-215-281-575-989-1,075-1,405-4,945-6,463-7,025-12,083-24,725-32,315-60,415-161,575-277,909-302,075-1,389,545-6,947,725

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