Q: What are the factor combinations of the number 4,440,037?

 A:
Positive:   1 x 44400377 x 63429131 x 14322737 x 12000149 x 9061379 x 56203217 x 20461259 x 17143553 x 80291147 x 38711519 x 29231813 x 2449
Negative: -1 x -4440037-7 x -634291-31 x -143227-37 x -120001-49 x -90613-79 x -56203-217 x -20461-259 x -17143-553 x -8029-1147 x -3871-1519 x -2923-1813 x -2449


How do I find the factor combinations of the number 4,440,037?

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 4,440,037, 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 4,440,037
-1 -4,440,037

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 4,440,037.

Example:
1 x 4,440,037 = 4,440,037
and
-1 x -4,440,037 = 4,440,037
Notice both answers equal 4,440,037

With that explanation out of the way, let's continue. Next, we take the number 4,440,037 and divide it by 2:

4,440,037 ÷ 2 = 2,220,018.5

If the quotient is a whole number, then 2 and 2,220,018.5 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 4,440,037
-1 -4,440,037

Now, we try dividing 4,440,037 by 3:

4,440,037 ÷ 3 = 1,480,012.3333

If the quotient is a whole number, then 3 and 1,480,012.3333 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 4,440,037
-1 -4,440,037

Let's try dividing by 4:

4,440,037 ÷ 4 = 1,110,009.25

If the quotient is a whole number, then 4 and 1,110,009.25 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 4,440,037
-1 4,440,037
Keep dividing by the next highest number until you cannot divide anymore.

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

17313749792172595531,1471,5191,8132,4492,9233,8718,02917,14320,46156,20390,613120,001143,227634,2914,440,037
-1-7-31-37-49-79-217-259-553-1,147-1,519-1,813-2,449-2,923-3,871-8,029-17,143-20,461-56,203-90,613-120,001-143,227-634,291-4,440,037

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