Q: What are the factor combinations of the number 55,086,031?

 A:
Positive:   1 x 550860317 x 786943311 x 500782113 x 423738777 x 71540391 x 605341113 x 487487143 x 385217487 x 113113791 x 696411001 x 550311243 x 443171469 x 374993409 x 161595357 x 102836331 x 8701
Negative: -1 x -55086031-7 x -7869433-11 x -5007821-13 x -4237387-77 x -715403-91 x -605341-113 x -487487-143 x -385217-487 x -113113-791 x -69641-1001 x -55031-1243 x -44317-1469 x -37499-3409 x -16159-5357 x -10283-6331 x -8701


How do I find the factor combinations of the number 55,086,031?

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 55,086,031, 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 55,086,031
-1 -55,086,031

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 55,086,031.

Example:
1 x 55,086,031 = 55,086,031
and
-1 x -55,086,031 = 55,086,031
Notice both answers equal 55,086,031

With that explanation out of the way, let's continue. Next, we take the number 55,086,031 and divide it by 2:

55,086,031 ÷ 2 = 27,543,015.5

If the quotient is a whole number, then 2 and 27,543,015.5 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 55,086,031
-1 -55,086,031

Now, we try dividing 55,086,031 by 3:

55,086,031 ÷ 3 = 18,362,010.3333

If the quotient is a whole number, then 3 and 18,362,010.3333 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 55,086,031
-1 -55,086,031

Let's try dividing by 4:

55,086,031 ÷ 4 = 13,771,507.75

If the quotient is a whole number, then 4 and 13,771,507.75 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 55,086,031
-1 55,086,031
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911131434877911,0011,2431,4693,4095,3576,3318,70110,28316,15937,49944,31755,03169,641113,113385,217487,487605,341715,4034,237,3875,007,8217,869,43355,086,031
-1-7-11-13-77-91-113-143-487-791-1,001-1,243-1,469-3,409-5,357-6,331-8,701-10,283-16,159-37,499-44,317-55,031-69,641-113,113-385,217-487,487-605,341-715,403-4,237,387-5,007,821-7,869,433-55,086,031

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