Q: What are the factor combinations of the number 46,505,015?

 A:
Positive:   1 x 465050155 x 930100373 x 637055103 x 451505365 x 127411515 x 903011237 x 375956185 x 7519
Negative: -1 x -46505015-5 x -9301003-73 x -637055-103 x -451505-365 x -127411-515 x -90301-1237 x -37595-6185 x -7519


How do I find the factor combinations of the number 46,505,015?

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 46,505,015, 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 46,505,015
-1 -46,505,015

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 46,505,015.

Example:
1 x 46,505,015 = 46,505,015
and
-1 x -46,505,015 = 46,505,015
Notice both answers equal 46,505,015

With that explanation out of the way, let's continue. Next, we take the number 46,505,015 and divide it by 2:

46,505,015 ÷ 2 = 23,252,507.5

If the quotient is a whole number, then 2 and 23,252,507.5 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 46,505,015
-1 -46,505,015

Now, we try dividing 46,505,015 by 3:

46,505,015 ÷ 3 = 15,501,671.6667

If the quotient is a whole number, then 3 and 15,501,671.6667 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 46,505,015
-1 -46,505,015

Let's try dividing by 4:

46,505,015 ÷ 4 = 11,626,253.75

If the quotient is a whole number, then 4 and 11,626,253.75 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 46,505,015
-1 46,505,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15731033655151,2376,1857,51937,59590,301127,411451,505637,0559,301,00346,505,015
-1-5-73-103-365-515-1,237-6,185-7,519-37,595-90,301-127,411-451,505-637,055-9,301,003-46,505,015

More Examples

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