Q: What are the factor combinations of the number 44,043,445?

 A:
Positive:   1 x 440434455 x 8808689113 x 389765137 x 321485565 x 77953569 x 77405685 x 642972845 x 15481
Negative: -1 x -44043445-5 x -8808689-113 x -389765-137 x -321485-565 x -77953-569 x -77405-685 x -64297-2845 x -15481


How do I find the factor combinations of the number 44,043,445?

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 44,043,445, 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 44,043,445
-1 -44,043,445

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 44,043,445.

Example:
1 x 44,043,445 = 44,043,445
and
-1 x -44,043,445 = 44,043,445
Notice both answers equal 44,043,445

With that explanation out of the way, let's continue. Next, we take the number 44,043,445 and divide it by 2:

44,043,445 ÷ 2 = 22,021,722.5

If the quotient is a whole number, then 2 and 22,021,722.5 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 44,043,445
-1 -44,043,445

Now, we try dividing 44,043,445 by 3:

44,043,445 ÷ 3 = 14,681,148.3333

If the quotient is a whole number, then 3 and 14,681,148.3333 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 44,043,445
-1 -44,043,445

Let's try dividing by 4:

44,043,445 ÷ 4 = 11,010,861.25

If the quotient is a whole number, then 4 and 11,010,861.25 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 44,043,445
-1 44,043,445
Keep dividing by the next highest number until you cannot divide anymore.

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

151131375655696852,84515,48164,29777,40577,953321,485389,7658,808,68944,043,445
-1-5-113-137-565-569-685-2,845-15,481-64,297-77,405-77,953-321,485-389,765-8,808,689-44,043,445

More Examples

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