Q: What are the factor combinations of the number 55,063,379?

 A:
Positive:   1 x 550633797 x 7866197373 x 1476232611 x 21089
Negative: -1 x -55063379-7 x -7866197-373 x -147623-2611 x -21089


How do I find the factor combinations of the number 55,063,379?

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 55,063,379, 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 55,063,379
-1 -55,063,379

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 55,063,379.

Example:
1 x 55,063,379 = 55,063,379
and
-1 x -55,063,379 = 55,063,379
Notice both answers equal 55,063,379

With that explanation out of the way, let's continue. Next, we take the number 55,063,379 and divide it by 2:

55,063,379 ÷ 2 = 27,531,689.5

If the quotient is a whole number, then 2 and 27,531,689.5 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 55,063,379
-1 -55,063,379

Now, we try dividing 55,063,379 by 3:

55,063,379 ÷ 3 = 18,354,459.6667

If the quotient is a whole number, then 3 and 18,354,459.6667 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 55,063,379
-1 -55,063,379

Let's try dividing by 4:

55,063,379 ÷ 4 = 13,765,844.75

If the quotient is a whole number, then 4 and 13,765,844.75 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 55,063,379
-1 55,063,379
Keep dividing by the next highest number until you cannot divide anymore.

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

173732,61121,089147,6237,866,19755,063,379
-1-7-373-2,611-21,089-147,623-7,866,197-55,063,379

More Examples

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