Q: What are the factor combinations of the number 55,050,331?

 A:
Positive:   1 x 550503317 x 786433341 x 134269183 x 663257287 x 191813581 x 947512311 x 238213403 x 16177
Negative: -1 x -55050331-7 x -7864333-41 x -1342691-83 x -663257-287 x -191813-581 x -94751-2311 x -23821-3403 x -16177


How do I find the factor combinations of the number 55,050,331?

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 55,050,331, 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 55,050,331
-1 -55,050,331

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 55,050,331.

Example:
1 x 55,050,331 = 55,050,331
and
-1 x -55,050,331 = 55,050,331
Notice both answers equal 55,050,331

With that explanation out of the way, let's continue. Next, we take the number 55,050,331 and divide it by 2:

55,050,331 ÷ 2 = 27,525,165.5

If the quotient is a whole number, then 2 and 27,525,165.5 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 55,050,331
-1 -55,050,331

Now, we try dividing 55,050,331 by 3:

55,050,331 ÷ 3 = 18,350,110.3333

If the quotient is a whole number, then 3 and 18,350,110.3333 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 55,050,331
-1 -55,050,331

Let's try dividing by 4:

55,050,331 ÷ 4 = 13,762,582.75

If the quotient is a whole number, then 4 and 13,762,582.75 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 55,050,331
-1 55,050,331
Keep dividing by the next highest number until you cannot divide anymore.

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

1741832875812,3113,40316,17723,82194,751191,813663,2571,342,6917,864,33355,050,331
-1-7-41-83-287-581-2,311-3,403-16,177-23,821-94,751-191,813-663,257-1,342,691-7,864,333-55,050,331

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