Q: What are the factor combinations of the number 55,765,015?

 A:
Positive:   1 x 557650155 x 1115300317 x 328029585 x 656059307 x 1816451535 x 363292137 x 260955219 x 10685
Negative: -1 x -55765015-5 x -11153003-17 x -3280295-85 x -656059-307 x -181645-1535 x -36329-2137 x -26095-5219 x -10685


How do I find the factor combinations of the number 55,765,015?

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 55,765,015, 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 55,765,015
-1 -55,765,015

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 55,765,015.

Example:
1 x 55,765,015 = 55,765,015
and
-1 x -55,765,015 = 55,765,015
Notice both answers equal 55,765,015

With that explanation out of the way, let's continue. Next, we take the number 55,765,015 and divide it by 2:

55,765,015 ÷ 2 = 27,882,507.5

If the quotient is a whole number, then 2 and 27,882,507.5 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 55,765,015
-1 -55,765,015

Now, we try dividing 55,765,015 by 3:

55,765,015 ÷ 3 = 18,588,338.3333

If the quotient is a whole number, then 3 and 18,588,338.3333 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 55,765,015
-1 -55,765,015

Let's try dividing by 4:

55,765,015 ÷ 4 = 13,941,253.75

If the quotient is a whole number, then 4 and 13,941,253.75 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 55,765,015
-1 55,765,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1517853071,5352,1375,21910,68526,09536,329181,645656,0593,280,29511,153,00355,765,015
-1-5-17-85-307-1,535-2,137-5,219-10,685-26,095-36,329-181,645-656,059-3,280,295-11,153,003-55,765,015

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