Q: What are the factor combinations of the number 55,283,507?

 A:
Positive:   1 x 5528350717 x 325197161 x 90628789 x 621163599 x 922931037 x 533111513 x 365395429 x 10183
Negative: -1 x -55283507-17 x -3251971-61 x -906287-89 x -621163-599 x -92293-1037 x -53311-1513 x -36539-5429 x -10183


How do I find the factor combinations of the number 55,283,507?

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 55,283,507, 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 55,283,507
-1 -55,283,507

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 55,283,507.

Example:
1 x 55,283,507 = 55,283,507
and
-1 x -55,283,507 = 55,283,507
Notice both answers equal 55,283,507

With that explanation out of the way, let's continue. Next, we take the number 55,283,507 and divide it by 2:

55,283,507 ÷ 2 = 27,641,753.5

If the quotient is a whole number, then 2 and 27,641,753.5 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 55,283,507
-1 -55,283,507

Now, we try dividing 55,283,507 by 3:

55,283,507 ÷ 3 = 18,427,835.6667

If the quotient is a whole number, then 3 and 18,427,835.6667 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 55,283,507
-1 -55,283,507

Let's try dividing by 4:

55,283,507 ÷ 4 = 13,820,876.75

If the quotient is a whole number, then 4 and 13,820,876.75 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 55,283,507
-1 55,283,507
Keep dividing by the next highest number until you cannot divide anymore.

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

11761895991,0371,5135,42910,18336,53953,31192,293621,163906,2873,251,97155,283,507
-1-17-61-89-599-1,037-1,513-5,429-10,183-36,539-53,311-92,293-621,163-906,287-3,251,971-55,283,507

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