Q: What are the factor combinations of the number 10,627,015?

 A:
Positive:   1 x 106270155 x 21254037 x 151814535 x 303629211 x 503651055 x 100731439 x 73851477 x 7195
Negative: -1 x -10627015-5 x -2125403-7 x -1518145-35 x -303629-211 x -50365-1055 x -10073-1439 x -7385-1477 x -7195


How do I find the factor combinations of the number 10,627,015?

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 10,627,015, 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 10,627,015
-1 -10,627,015

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 10,627,015.

Example:
1 x 10,627,015 = 10,627,015
and
-1 x -10,627,015 = 10,627,015
Notice both answers equal 10,627,015

With that explanation out of the way, let's continue. Next, we take the number 10,627,015 and divide it by 2:

10,627,015 ÷ 2 = 5,313,507.5

If the quotient is a whole number, then 2 and 5,313,507.5 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 10,627,015
-1 -10,627,015

Now, we try dividing 10,627,015 by 3:

10,627,015 ÷ 3 = 3,542,338.3333

If the quotient is a whole number, then 3 and 3,542,338.3333 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 10,627,015
-1 -10,627,015

Let's try dividing by 4:

10,627,015 ÷ 4 = 2,656,753.75

If the quotient is a whole number, then 4 and 2,656,753.75 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 10,627,015
-1 10,627,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157352111,0551,4391,4777,1957,38510,07350,365303,6291,518,1452,125,40310,627,015
-1-5-7-35-211-1,055-1,439-1,477-7,195-7,385-10,073-50,365-303,629-1,518,145-2,125,403-10,627,015

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