Q: What are the factor combinations of the number 54,422,255?

 A:
Positive:   1 x 544222555 x 1088445123 x 236618553 x 1026835115 x 473237265 x 2053671219 x 446456095 x 8929
Negative: -1 x -54422255-5 x -10884451-23 x -2366185-53 x -1026835-115 x -473237-265 x -205367-1219 x -44645-6095 x -8929


How do I find the factor combinations of the number 54,422,255?

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 54,422,255, 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 54,422,255
-1 -54,422,255

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 54,422,255.

Example:
1 x 54,422,255 = 54,422,255
and
-1 x -54,422,255 = 54,422,255
Notice both answers equal 54,422,255

With that explanation out of the way, let's continue. Next, we take the number 54,422,255 and divide it by 2:

54,422,255 ÷ 2 = 27,211,127.5

If the quotient is a whole number, then 2 and 27,211,127.5 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 54,422,255
-1 -54,422,255

Now, we try dividing 54,422,255 by 3:

54,422,255 ÷ 3 = 18,140,751.6667

If the quotient is a whole number, then 3 and 18,140,751.6667 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 54,422,255
-1 -54,422,255

Let's try dividing by 4:

54,422,255 ÷ 4 = 13,605,563.75

If the quotient is a whole number, then 4 and 13,605,563.75 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 54,422,255
-1 54,422,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1523531152651,2196,0958,92944,645205,367473,2371,026,8352,366,18510,884,45154,422,255
-1-5-23-53-115-265-1,219-6,095-8,929-44,645-205,367-473,237-1,026,835-2,366,185-10,884,451-54,422,255

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