Q: What are the factor combinations of the number 3,799,873?

 A:
Positive:   1 x 37998737 x 54283911 x 34544361 x 6229377 x 49349427 x 8899671 x 5663809 x 4697
Negative: -1 x -3799873-7 x -542839-11 x -345443-61 x -62293-77 x -49349-427 x -8899-671 x -5663-809 x -4697


How do I find the factor combinations of the number 3,799,873?

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 3,799,873, 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 3,799,873
-1 -3,799,873

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 3,799,873.

Example:
1 x 3,799,873 = 3,799,873
and
-1 x -3,799,873 = 3,799,873
Notice both answers equal 3,799,873

With that explanation out of the way, let's continue. Next, we take the number 3,799,873 and divide it by 2:

3,799,873 ÷ 2 = 1,899,936.5

If the quotient is a whole number, then 2 and 1,899,936.5 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 3,799,873
-1 -3,799,873

Now, we try dividing 3,799,873 by 3:

3,799,873 ÷ 3 = 1,266,624.3333

If the quotient is a whole number, then 3 and 1,266,624.3333 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 3,799,873
-1 -3,799,873

Let's try dividing by 4:

3,799,873 ÷ 4 = 949,968.25

If the quotient is a whole number, then 4 and 949,968.25 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 3,799,873
-1 3,799,873
Keep dividing by the next highest number until you cannot divide anymore.

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

171161774276718094,6975,6638,89949,34962,293345,443542,8393,799,873
-1-7-11-61-77-427-671-809-4,697-5,663-8,899-49,349-62,293-345,443-542,839-3,799,873

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