Q: What are the factor combinations of the number 4,400,837?

 A:
Positive:   1 x 44008377 x 62869119 x 23162329 x 15175349 x 89813133 x 33089163 x 26999203 x 21679551 x 7987931 x 47271141 x 38571421 x 3097
Negative: -1 x -4400837-7 x -628691-19 x -231623-29 x -151753-49 x -89813-133 x -33089-163 x -26999-203 x -21679-551 x -7987-931 x -4727-1141 x -3857-1421 x -3097


How do I find the factor combinations of the number 4,400,837?

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 4,400,837, 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 4,400,837
-1 -4,400,837

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 4,400,837.

Example:
1 x 4,400,837 = 4,400,837
and
-1 x -4,400,837 = 4,400,837
Notice both answers equal 4,400,837

With that explanation out of the way, let's continue. Next, we take the number 4,400,837 and divide it by 2:

4,400,837 ÷ 2 = 2,200,418.5

If the quotient is a whole number, then 2 and 2,200,418.5 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 4,400,837
-1 -4,400,837

Now, we try dividing 4,400,837 by 3:

4,400,837 ÷ 3 = 1,466,945.6667

If the quotient is a whole number, then 3 and 1,466,945.6667 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 4,400,837
-1 -4,400,837

Let's try dividing by 4:

4,400,837 ÷ 4 = 1,100,209.25

If the quotient is a whole number, then 4 and 1,100,209.25 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 4,400,837
-1 4,400,837
Keep dividing by the next highest number until you cannot divide anymore.

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

171929491331632035519311,1411,4213,0973,8574,7277,98721,67926,99933,08989,813151,753231,623628,6914,400,837
-1-7-19-29-49-133-163-203-551-931-1,141-1,421-3,097-3,857-4,727-7,987-21,679-26,999-33,089-89,813-151,753-231,623-628,691-4,400,837

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