Q: What are the factor combinations of the number 424,411,229?

 A:
Positive:   1 x 42441122911 x 38582839109 x 3893681307 x 13824471153 x 3680931199 x 3539713377 x 12567712683 x 33463
Negative: -1 x -424411229-11 x -38582839-109 x -3893681-307 x -1382447-1153 x -368093-1199 x -353971-3377 x -125677-12683 x -33463


How do I find the factor combinations of the number 424,411,229?

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 424,411,229, 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.

1 424,411,229
-1 -424,411,229

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 424,411,229.

Example:
1 x 424,411,229 = 424,411,229
and
-1 x -424,411,229 = 424,411,229
Notice both answers equal 424,411,229

With that explanation out of the way, let's continue. Next, we take the number 424,411,229 and divide it by 2:

424,411,229 ÷ 2 = 212,205,614.5

If the quotient is a whole number, then 2 and 212,205,614.5 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:

1 424,411,229
-1 -424,411,229

Now, we try dividing 424,411,229 by 3:

424,411,229 ÷ 3 = 141,470,409.6667

If the quotient is a whole number, then 3 and 141,470,409.6667 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:

1 424,411,229
-1 -424,411,229

Let's try dividing by 4:

424,411,229 ÷ 4 = 106,102,807.25

If the quotient is a whole number, then 4 and 106,102,807.25 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:

1 424,411,229
-1 424,411,229
Keep dividing by the next highest number until you cannot divide anymore.

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

1111093071,1531,1993,37712,68333,463125,677353,971368,0931,382,4473,893,68138,582,839424,411,229
-1-11-109-307-1,153-1,199-3,377-12,683-33,463-125,677-353,971-368,093-1,382,447-3,893,681-38,582,839-424,411,229

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