Q: What are the factor combinations of the number 423,272,773?

 A:
Positive:   1 x 4232727737 x 6046753911 x 3847934377 x 54970491423 x 2974513863 x 1095719961 x 4249315653 x 27041
Negative: -1 x -423272773-7 x -60467539-11 x -38479343-77 x -5497049-1423 x -297451-3863 x -109571-9961 x -42493-15653 x -27041


How do I find the factor combinations of the number 423,272,773?

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 423,272,773, 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.

1 423,272,773
-1 -423,272,773

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 423,272,773.

Example:
1 x 423,272,773 = 423,272,773
and
-1 x -423,272,773 = 423,272,773
Notice both answers equal 423,272,773

With that explanation out of the way, let's continue. Next, we take the number 423,272,773 and divide it by 2:

423,272,773 ÷ 2 = 211,636,386.5

If the quotient is a whole number, then 2 and 211,636,386.5 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:

1 423,272,773
-1 -423,272,773

Now, we try dividing 423,272,773 by 3:

423,272,773 ÷ 3 = 141,090,924.3333

If the quotient is a whole number, then 3 and 141,090,924.3333 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:

1 423,272,773
-1 -423,272,773

Let's try dividing by 4:

423,272,773 ÷ 4 = 105,818,193.25

If the quotient is a whole number, then 4 and 105,818,193.25 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:

1 423,272,773
-1 423,272,773
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771,4233,8639,96115,65327,04142,493109,571297,4515,497,04938,479,34360,467,539423,272,773
-1-7-11-77-1,423-3,863-9,961-15,653-27,041-42,493-109,571-297,451-5,497,049-38,479,343-60,467,539-423,272,773

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