Q: What are the factor combinations of the number 433,342,021?

 A:
Positive:   1 x 4333420217 x 6190600347 x 9220043233 x 1859837329 x 13171491631 x 2656915653 x 7665710951 x 39571
Negative: -1 x -433342021-7 x -61906003-47 x -9220043-233 x -1859837-329 x -1317149-1631 x -265691-5653 x -76657-10951 x -39571


How do I find the factor combinations of the number 433,342,021?

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 433,342,021, 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.

1 433,342,021
-1 -433,342,021

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 433,342,021.

Example:
1 x 433,342,021 = 433,342,021
and
-1 x -433,342,021 = 433,342,021
Notice both answers equal 433,342,021

With that explanation out of the way, let's continue. Next, we take the number 433,342,021 and divide it by 2:

433,342,021 ÷ 2 = 216,671,010.5

If the quotient is a whole number, then 2 and 216,671,010.5 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:

1 433,342,021
-1 -433,342,021

Now, we try dividing 433,342,021 by 3:

433,342,021 ÷ 3 = 144,447,340.3333

If the quotient is a whole number, then 3 and 144,447,340.3333 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:

1 433,342,021
-1 -433,342,021

Let's try dividing by 4:

433,342,021 ÷ 4 = 108,335,505.25

If the quotient is a whole number, then 4 and 108,335,505.25 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:

1 433,342,021
-1 433,342,021
Keep dividing by the next highest number until you cannot divide anymore.

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

17472333291,6315,65310,95139,57176,657265,6911,317,1491,859,8379,220,04361,906,003433,342,021
-1-7-47-233-329-1,631-5,653-10,951-39,571-76,657-265,691-1,317,149-1,859,837-9,220,043-61,906,003-433,342,021

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