Q: What are the factor combinations of the number 55,214,249?

 A:
Positive:   1 x 5521424917 x 324789737 x 149227741 x 1346689629 x 87781697 x 792171517 x 363972141 x 25789
Negative: -1 x -55214249-17 x -3247897-37 x -1492277-41 x -1346689-629 x -87781-697 x -79217-1517 x -36397-2141 x -25789


How do I find the factor combinations of the number 55,214,249?

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 55,214,249, 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 55,214,249
-1 -55,214,249

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 55,214,249.

Example:
1 x 55,214,249 = 55,214,249
and
-1 x -55,214,249 = 55,214,249
Notice both answers equal 55,214,249

With that explanation out of the way, let's continue. Next, we take the number 55,214,249 and divide it by 2:

55,214,249 ÷ 2 = 27,607,124.5

If the quotient is a whole number, then 2 and 27,607,124.5 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 55,214,249
-1 -55,214,249

Now, we try dividing 55,214,249 by 3:

55,214,249 ÷ 3 = 18,404,749.6667

If the quotient is a whole number, then 3 and 18,404,749.6667 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 55,214,249
-1 -55,214,249

Let's try dividing by 4:

55,214,249 ÷ 4 = 13,803,562.25

If the quotient is a whole number, then 4 and 13,803,562.25 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 55,214,249
-1 55,214,249
Keep dividing by the next highest number until you cannot divide anymore.

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

11737416296971,5172,14125,78936,39779,21787,7811,346,6891,492,2773,247,89755,214,249
-1-17-37-41-629-697-1,517-2,141-25,789-36,397-79,217-87,781-1,346,689-1,492,277-3,247,897-55,214,249

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