Q: What are the factor combinations of the number 55,063,321?

 A:
Positive:   1 x 5506332189 x 618689139 x 3961394451 x 12371
Negative: -1 x -55063321-89 x -618689-139 x -396139-4451 x -12371


How do I find the factor combinations of the number 55,063,321?

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 55,063,321, 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 55,063,321
-1 -55,063,321

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 55,063,321.

Example:
1 x 55,063,321 = 55,063,321
and
-1 x -55,063,321 = 55,063,321
Notice both answers equal 55,063,321

With that explanation out of the way, let's continue. Next, we take the number 55,063,321 and divide it by 2:

55,063,321 ÷ 2 = 27,531,660.5

If the quotient is a whole number, then 2 and 27,531,660.5 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 55,063,321
-1 -55,063,321

Now, we try dividing 55,063,321 by 3:

55,063,321 ÷ 3 = 18,354,440.3333

If the quotient is a whole number, then 3 and 18,354,440.3333 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 55,063,321
-1 -55,063,321

Let's try dividing by 4:

55,063,321 ÷ 4 = 13,765,830.25

If the quotient is a whole number, then 4 and 13,765,830.25 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 55,063,321
-1 55,063,321
Keep dividing by the next highest number until you cannot divide anymore.

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

1891394,45112,371396,139618,68955,063,321
-1-89-139-4,451-12,371-396,139-618,689-55,063,321

More Examples

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