Q: What are the factor combinations of the number 7,271,845?

 A:
Positive:   1 x 72718455 x 14543697 x 103883535 x 20776749 x 14840567 x 108535245 x 29681335 x 21707443 x 16415469 x 155052215 x 32832345 x 3101
Negative: -1 x -7271845-5 x -1454369-7 x -1038835-35 x -207767-49 x -148405-67 x -108535-245 x -29681-335 x -21707-443 x -16415-469 x -15505-2215 x -3283-2345 x -3101


How do I find the factor combinations of the number 7,271,845?

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 7,271,845, 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 7,271,845
-1 -7,271,845

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 7,271,845.

Example:
1 x 7,271,845 = 7,271,845
and
-1 x -7,271,845 = 7,271,845
Notice both answers equal 7,271,845

With that explanation out of the way, let's continue. Next, we take the number 7,271,845 and divide it by 2:

7,271,845 ÷ 2 = 3,635,922.5

If the quotient is a whole number, then 2 and 3,635,922.5 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 7,271,845
-1 -7,271,845

Now, we try dividing 7,271,845 by 3:

7,271,845 ÷ 3 = 2,423,948.3333

If the quotient is a whole number, then 3 and 2,423,948.3333 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 7,271,845
-1 -7,271,845

Let's try dividing by 4:

7,271,845 ÷ 4 = 1,817,961.25

If the quotient is a whole number, then 4 and 1,817,961.25 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 7,271,845
-1 7,271,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549672453354434692,2152,3453,1013,28315,50516,41521,70729,681108,535148,405207,7671,038,8351,454,3697,271,845
-1-5-7-35-49-67-245-335-443-469-2,215-2,345-3,101-3,283-15,505-16,415-21,707-29,681-108,535-148,405-207,767-1,038,835-1,454,369-7,271,845

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