Q: What are the factor combinations of the number 55,171,475?

 A:
Positive:   1 x 551714755 x 1103429525 x 220685931 x 1779725155 x 355945257 x 214675277 x 199175775 x 711891285 x 429351385 x 398356425 x 85876925 x 7967
Negative: -1 x -55171475-5 x -11034295-25 x -2206859-31 x -1779725-155 x -355945-257 x -214675-277 x -199175-775 x -71189-1285 x -42935-1385 x -39835-6425 x -8587-6925 x -7967


How do I find the factor combinations of the number 55,171,475?

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 55,171,475, 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 55,171,475
-1 -55,171,475

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 55,171,475.

Example:
1 x 55,171,475 = 55,171,475
and
-1 x -55,171,475 = 55,171,475
Notice both answers equal 55,171,475

With that explanation out of the way, let's continue. Next, we take the number 55,171,475 and divide it by 2:

55,171,475 ÷ 2 = 27,585,737.5

If the quotient is a whole number, then 2 and 27,585,737.5 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 55,171,475
-1 -55,171,475

Now, we try dividing 55,171,475 by 3:

55,171,475 ÷ 3 = 18,390,491.6667

If the quotient is a whole number, then 3 and 18,390,491.6667 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 55,171,475
-1 -55,171,475

Let's try dividing by 4:

55,171,475 ÷ 4 = 13,792,868.75

If the quotient is a whole number, then 4 and 13,792,868.75 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 55,171,475
-1 55,171,475
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311552572777751,2851,3856,4256,9257,9678,58739,83542,93571,189199,175214,675355,9451,779,7252,206,85911,034,29555,171,475
-1-5-25-31-155-257-277-775-1,285-1,385-6,425-6,925-7,967-8,587-39,835-42,935-71,189-199,175-214,675-355,945-1,779,725-2,206,859-11,034,295-55,171,475

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