Q: What are the factor combinations of the number 55,333,537?

 A:
Positive:   1 x 553335377 x 790479129 x 190805337 x 149550153 x 1044029139 x 398083203 x 272579259 x 213643371 x 149147973 x 568691073 x 515691537 x 360011961 x 282174031 x 137275143 x 107597367 x 7511
Negative: -1 x -55333537-7 x -7904791-29 x -1908053-37 x -1495501-53 x -1044029-139 x -398083-203 x -272579-259 x -213643-371 x -149147-973 x -56869-1073 x -51569-1537 x -36001-1961 x -28217-4031 x -13727-5143 x -10759-7367 x -7511


How do I find the factor combinations of the number 55,333,537?

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 55,333,537, 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 55,333,537
-1 -55,333,537

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 55,333,537.

Example:
1 x 55,333,537 = 55,333,537
and
-1 x -55,333,537 = 55,333,537
Notice both answers equal 55,333,537

With that explanation out of the way, let's continue. Next, we take the number 55,333,537 and divide it by 2:

55,333,537 ÷ 2 = 27,666,768.5

If the quotient is a whole number, then 2 and 27,666,768.5 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 55,333,537
-1 -55,333,537

Now, we try dividing 55,333,537 by 3:

55,333,537 ÷ 3 = 18,444,512.3333

If the quotient is a whole number, then 3 and 18,444,512.3333 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 55,333,537
-1 -55,333,537

Let's try dividing by 4:

55,333,537 ÷ 4 = 13,833,384.25

If the quotient is a whole number, then 4 and 13,833,384.25 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 55,333,537
-1 55,333,537
Keep dividing by the next highest number until you cannot divide anymore.

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

172937531392032593719731,0731,5371,9614,0315,1437,3677,51110,75913,72728,21736,00151,56956,869149,147213,643272,579398,0831,044,0291,495,5011,908,0537,904,79155,333,537
-1-7-29-37-53-139-203-259-371-973-1,073-1,537-1,961-4,031-5,143-7,367-7,511-10,759-13,727-28,217-36,001-51,569-56,869-149,147-213,643-272,579-398,083-1,044,029-1,495,501-1,908,053-7,904,791-55,333,537

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