Q: What are the factor combinations of the number 44,000,437?

 A:
Positive:   1 x 4400043713 x 338464917 x 258826137 x 1189201221 x 199097481 x 91477629 x 699535381 x 8177
Negative: -1 x -44000437-13 x -3384649-17 x -2588261-37 x -1189201-221 x -199097-481 x -91477-629 x -69953-5381 x -8177


How do I find the factor combinations of the number 44,000,437?

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 44,000,437, 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 44,000,437
-1 -44,000,437

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 44,000,437.

Example:
1 x 44,000,437 = 44,000,437
and
-1 x -44,000,437 = 44,000,437
Notice both answers equal 44,000,437

With that explanation out of the way, let's continue. Next, we take the number 44,000,437 and divide it by 2:

44,000,437 ÷ 2 = 22,000,218.5

If the quotient is a whole number, then 2 and 22,000,218.5 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 44,000,437
-1 -44,000,437

Now, we try dividing 44,000,437 by 3:

44,000,437 ÷ 3 = 14,666,812.3333

If the quotient is a whole number, then 3 and 14,666,812.3333 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 44,000,437
-1 -44,000,437

Let's try dividing by 4:

44,000,437 ÷ 4 = 11,000,109.25

If the quotient is a whole number, then 4 and 11,000,109.25 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 44,000,437
-1 44,000,437
Keep dividing by the next highest number until you cannot divide anymore.

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

11317372214816295,3818,17769,95391,477199,0971,189,2012,588,2613,384,64944,000,437
-1-13-17-37-221-481-629-5,381-8,177-69,953-91,477-199,097-1,189,201-2,588,261-3,384,649-44,000,437

More Examples

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