Q: What are the factor combinations of the number 44,632,445?

 A:
Positive:   1 x 446324455 x 892648911 x 405749513 x 343326555 x 81149965 x 686653143 x 312115715 x 62423
Negative: -1 x -44632445-5 x -8926489-11 x -4057495-13 x -3433265-55 x -811499-65 x -686653-143 x -312115-715 x -62423


How do I find the factor combinations of the number 44,632,445?

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 44,632,445, 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 44,632,445
-1 -44,632,445

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 44,632,445.

Example:
1 x 44,632,445 = 44,632,445
and
-1 x -44,632,445 = 44,632,445
Notice both answers equal 44,632,445

With that explanation out of the way, let's continue. Next, we take the number 44,632,445 and divide it by 2:

44,632,445 ÷ 2 = 22,316,222.5

If the quotient is a whole number, then 2 and 22,316,222.5 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 44,632,445
-1 -44,632,445

Now, we try dividing 44,632,445 by 3:

44,632,445 ÷ 3 = 14,877,481.6667

If the quotient is a whole number, then 3 and 14,877,481.6667 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 44,632,445
-1 -44,632,445

Let's try dividing by 4:

44,632,445 ÷ 4 = 11,158,111.25

If the quotient is a whole number, then 4 and 11,158,111.25 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 44,632,445
-1 44,632,445
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371562,423312,115686,653811,4993,433,2654,057,4958,926,48944,632,445
-1-5-11-13-55-65-143-715-62,423-312,115-686,653-811,499-3,433,265-4,057,495-8,926,489-44,632,445

More Examples

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