Q: What are the factor combinations of the number 55,233,137?

 A:
Positive:   1 x 55233137131 x 421627293 x 1885091439 x 38383
Negative: -1 x -55233137-131 x -421627-293 x -188509-1439 x -38383


How do I find the factor combinations of the number 55,233,137?

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 55,233,137, 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 55,233,137
-1 -55,233,137

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 55,233,137.

Example:
1 x 55,233,137 = 55,233,137
and
-1 x -55,233,137 = 55,233,137
Notice both answers equal 55,233,137

With that explanation out of the way, let's continue. Next, we take the number 55,233,137 and divide it by 2:

55,233,137 ÷ 2 = 27,616,568.5

If the quotient is a whole number, then 2 and 27,616,568.5 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 55,233,137
-1 -55,233,137

Now, we try dividing 55,233,137 by 3:

55,233,137 ÷ 3 = 18,411,045.6667

If the quotient is a whole number, then 3 and 18,411,045.6667 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 55,233,137
-1 -55,233,137

Let's try dividing by 4:

55,233,137 ÷ 4 = 13,808,284.25

If the quotient is a whole number, then 4 and 13,808,284.25 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 55,233,137
-1 55,233,137
Keep dividing by the next highest number until you cannot divide anymore.

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

11312931,43938,383188,509421,62755,233,137
-1-131-293-1,439-38,383-188,509-421,627-55,233,137

More Examples

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