Q: What are the factor combinations of the number 55,177,133?

 A:
Positive:   1 x 5517713311 x 5016103211 x 2615032321 x 23773
Negative: -1 x -55177133-11 x -5016103-211 x -261503-2321 x -23773


How do I find the factor combinations of the number 55,177,133?

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 55,177,133, 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 55,177,133
-1 -55,177,133

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 55,177,133.

Example:
1 x 55,177,133 = 55,177,133
and
-1 x -55,177,133 = 55,177,133
Notice both answers equal 55,177,133

With that explanation out of the way, let's continue. Next, we take the number 55,177,133 and divide it by 2:

55,177,133 ÷ 2 = 27,588,566.5

If the quotient is a whole number, then 2 and 27,588,566.5 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 55,177,133
-1 -55,177,133

Now, we try dividing 55,177,133 by 3:

55,177,133 ÷ 3 = 18,392,377.6667

If the quotient is a whole number, then 3 and 18,392,377.6667 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 55,177,133
-1 -55,177,133

Let's try dividing by 4:

55,177,133 ÷ 4 = 13,794,283.25

If the quotient is a whole number, then 4 and 13,794,283.25 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 55,177,133
-1 55,177,133
Keep dividing by the next highest number until you cannot divide anymore.

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

1112112,32123,773261,5035,016,10355,177,133
-1-11-211-2,321-23,773-261,503-5,016,103-55,177,133

More Examples

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