Q: What are the factor combinations of the number 424,056,655?

 A:
Positive:   1 x 4240566555 x 8481133111 x 3855060555 x 7710121827 x 5127654135 x 1025539097 x 466159323 x 45485
Negative: -1 x -424056655-5 x -84811331-11 x -38550605-55 x -7710121-827 x -512765-4135 x -102553-9097 x -46615-9323 x -45485


How do I find the factor combinations of the number 424,056,655?

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 424,056,655, 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.

1 424,056,655
-1 -424,056,655

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 424,056,655.

Example:
1 x 424,056,655 = 424,056,655
and
-1 x -424,056,655 = 424,056,655
Notice both answers equal 424,056,655

With that explanation out of the way, let's continue. Next, we take the number 424,056,655 and divide it by 2:

424,056,655 ÷ 2 = 212,028,327.5

If the quotient is a whole number, then 2 and 212,028,327.5 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:

1 424,056,655
-1 -424,056,655

Now, we try dividing 424,056,655 by 3:

424,056,655 ÷ 3 = 141,352,218.3333

If the quotient is a whole number, then 3 and 141,352,218.3333 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:

1 424,056,655
-1 -424,056,655

Let's try dividing by 4:

424,056,655 ÷ 4 = 106,014,163.75

If the quotient is a whole number, then 4 and 106,014,163.75 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:

1 424,056,655
-1 424,056,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1511558274,1359,0979,32345,48546,615102,553512,7657,710,12138,550,60584,811,331424,056,655
-1-5-11-55-827-4,135-9,097-9,323-45,485-46,615-102,553-512,765-7,710,121-38,550,605-84,811,331-424,056,655

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