Q: What are the factor combinations of the number 44,202,431?

 A:
Positive:   1 x 442024317 x 631463313 x 340018717 x 260014391 x 485741119 x 371449221 x 2000111547 x 28573
Negative: -1 x -44202431-7 x -6314633-13 x -3400187-17 x -2600143-91 x -485741-119 x -371449-221 x -200011-1547 x -28573


How do I find the factor combinations of the number 44,202,431?

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 44,202,431, 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 44,202,431
-1 -44,202,431

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 44,202,431.

Example:
1 x 44,202,431 = 44,202,431
and
-1 x -44,202,431 = 44,202,431
Notice both answers equal 44,202,431

With that explanation out of the way, let's continue. Next, we take the number 44,202,431 and divide it by 2:

44,202,431 ÷ 2 = 22,101,215.5

If the quotient is a whole number, then 2 and 22,101,215.5 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 44,202,431
-1 -44,202,431

Now, we try dividing 44,202,431 by 3:

44,202,431 ÷ 3 = 14,734,143.6667

If the quotient is a whole number, then 3 and 14,734,143.6667 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 44,202,431
-1 -44,202,431

Let's try dividing by 4:

44,202,431 ÷ 4 = 11,050,607.75

If the quotient is a whole number, then 4 and 11,050,607.75 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 44,202,431
-1 44,202,431
Keep dividing by the next highest number until you cannot divide anymore.

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

171317911192211,54728,573200,011371,449485,7412,600,1433,400,1876,314,63344,202,431
-1-7-13-17-91-119-221-1,547-28,573-200,011-371,449-485,741-2,600,143-3,400,187-6,314,633-44,202,431

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