Q: What are the factor combinations of the number 55,314,245?

 A:
Positive:   1 x 553142455 x 110628497 x 790203535 x 158040753 x 1043665265 x 208733371 x 1490951855 x 29819
Negative: -1 x -55314245-5 x -11062849-7 x -7902035-35 x -1580407-53 x -1043665-265 x -208733-371 x -149095-1855 x -29819


How do I find the factor combinations of the number 55,314,245?

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 55,314,245, 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 55,314,245
-1 -55,314,245

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 55,314,245.

Example:
1 x 55,314,245 = 55,314,245
and
-1 x -55,314,245 = 55,314,245
Notice both answers equal 55,314,245

With that explanation out of the way, let's continue. Next, we take the number 55,314,245 and divide it by 2:

55,314,245 ÷ 2 = 27,657,122.5

If the quotient is a whole number, then 2 and 27,657,122.5 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 55,314,245
-1 -55,314,245

Now, we try dividing 55,314,245 by 3:

55,314,245 ÷ 3 = 18,438,081.6667

If the quotient is a whole number, then 3 and 18,438,081.6667 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 55,314,245
-1 -55,314,245

Let's try dividing by 4:

55,314,245 ÷ 4 = 13,828,561.25

If the quotient is a whole number, then 4 and 13,828,561.25 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 55,314,245
-1 55,314,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,85529,819149,095208,7331,043,6651,580,4077,902,03511,062,84955,314,245
-1-5-7-35-53-265-371-1,855-29,819-149,095-208,733-1,043,665-1,580,407-7,902,035-11,062,849-55,314,245

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