Q: What are the factor combinations of the number 202,443,445?

 A:
Positive:   1 x 2024434455 x 4048868941 x 493764561 x 3318745205 x 987529305 x 6637492501 x 8094512505 x 16189
Negative: -1 x -202443445-5 x -40488689-41 x -4937645-61 x -3318745-205 x -987529-305 x -663749-2501 x -80945-12505 x -16189


How do I find the factor combinations of the number 202,443,445?

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 202,443,445, 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.

1 202,443,445
-1 -202,443,445

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 202,443,445.

Example:
1 x 202,443,445 = 202,443,445
and
-1 x -202,443,445 = 202,443,445
Notice both answers equal 202,443,445

With that explanation out of the way, let's continue. Next, we take the number 202,443,445 and divide it by 2:

202,443,445 ÷ 2 = 101,221,722.5

If the quotient is a whole number, then 2 and 101,221,722.5 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:

1 202,443,445
-1 -202,443,445

Now, we try dividing 202,443,445 by 3:

202,443,445 ÷ 3 = 67,481,148.3333

If the quotient is a whole number, then 3 and 67,481,148.3333 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:

1 202,443,445
-1 -202,443,445

Let's try dividing by 4:

202,443,445 ÷ 4 = 50,610,861.25

If the quotient is a whole number, then 4 and 50,610,861.25 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:

1 202,443,445
-1 202,443,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1541612053052,50112,50516,18980,945663,749987,5293,318,7454,937,64540,488,689202,443,445
-1-5-41-61-205-305-2,501-12,505-16,189-80,945-663,749-987,529-3,318,745-4,937,645-40,488,689-202,443,445

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