Q: What are the factor combinations of the number 55,673,147?

 A:
Positive:   1 x 5567314717 x 3274891
Negative: -1 x -55673147-17 x -3274891


How do I find the factor combinations of the number 55,673,147?

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 55,673,147, 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 55,673,147
-1 -55,673,147

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 55,673,147.

Example:
1 x 55,673,147 = 55,673,147
and
-1 x -55,673,147 = 55,673,147
Notice both answers equal 55,673,147

With that explanation out of the way, let's continue. Next, we take the number 55,673,147 and divide it by 2:

55,673,147 ÷ 2 = 27,836,573.5

If the quotient is a whole number, then 2 and 27,836,573.5 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 55,673,147
-1 -55,673,147

Now, we try dividing 55,673,147 by 3:

55,673,147 ÷ 3 = 18,557,715.6667

If the quotient is a whole number, then 3 and 18,557,715.6667 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 55,673,147
-1 -55,673,147

Let's try dividing by 4:

55,673,147 ÷ 4 = 13,918,286.75

If the quotient is a whole number, then 4 and 13,918,286.75 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 55,673,147
-1 55,673,147
Keep dividing by the next highest number until you cannot divide anymore.

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

1173,274,89155,673,147
-1-17-3,274,891-55,673,147

More Examples

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