Q: What are the factor combinations of the number 55,010,011?

 A:
Positive:   1 x 550100117 x 785857317 x 3235883109 x 504679119 x 462269763 x 720971853 x 296874241 x 12971
Negative: -1 x -55010011-7 x -7858573-17 x -3235883-109 x -504679-119 x -462269-763 x -72097-1853 x -29687-4241 x -12971


How do I find the factor combinations of the number 55,010,011?

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 55,010,011, 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 55,010,011
-1 -55,010,011

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 55,010,011.

Example:
1 x 55,010,011 = 55,010,011
and
-1 x -55,010,011 = 55,010,011
Notice both answers equal 55,010,011

With that explanation out of the way, let's continue. Next, we take the number 55,010,011 and divide it by 2:

55,010,011 ÷ 2 = 27,505,005.5

If the quotient is a whole number, then 2 and 27,505,005.5 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 55,010,011
-1 -55,010,011

Now, we try dividing 55,010,011 by 3:

55,010,011 ÷ 3 = 18,336,670.3333

If the quotient is a whole number, then 3 and 18,336,670.3333 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 55,010,011
-1 -55,010,011

Let's try dividing by 4:

55,010,011 ÷ 4 = 13,752,502.75

If the quotient is a whole number, then 4 and 13,752,502.75 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 55,010,011
-1 55,010,011
Keep dividing by the next highest number until you cannot divide anymore.

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

17171091197631,8534,24112,97129,68772,097462,269504,6793,235,8837,858,57355,010,011
-1-7-17-109-119-763-1,853-4,241-12,971-29,687-72,097-462,269-504,679-3,235,883-7,858,573-55,010,011

More Examples

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