Q: What are the factor combinations of the number 424,114,427?

 A:
Positive:   1 x 42411442711 x 3855585753 x 8002159163 x 2601929583 x 7274691793 x 2365394463 x 950298639 x 49093
Negative: -1 x -424114427-11 x -38555857-53 x -8002159-163 x -2601929-583 x -727469-1793 x -236539-4463 x -95029-8639 x -49093


How do I find the factor combinations of the number 424,114,427?

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 424,114,427, 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.

1 424,114,427
-1 -424,114,427

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 424,114,427.

Example:
1 x 424,114,427 = 424,114,427
and
-1 x -424,114,427 = 424,114,427
Notice both answers equal 424,114,427

With that explanation out of the way, let's continue. Next, we take the number 424,114,427 and divide it by 2:

424,114,427 ÷ 2 = 212,057,213.5

If the quotient is a whole number, then 2 and 212,057,213.5 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:

1 424,114,427
-1 -424,114,427

Now, we try dividing 424,114,427 by 3:

424,114,427 ÷ 3 = 141,371,475.6667

If the quotient is a whole number, then 3 and 141,371,475.6667 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:

1 424,114,427
-1 -424,114,427

Let's try dividing by 4:

424,114,427 ÷ 4 = 106,028,606.75

If the quotient is a whole number, then 4 and 106,028,606.75 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:

1 424,114,427
-1 424,114,427
Keep dividing by the next highest number until you cannot divide anymore.

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

111531635831,7934,4638,63949,09395,029236,539727,4692,601,9298,002,15938,555,857424,114,427
-1-11-53-163-583-1,793-4,463-8,639-49,093-95,029-236,539-727,469-2,601,929-8,002,159-38,555,857-424,114,427

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