Q: What are the factor combinations of the number 14,501,015?

 A:
Positive:   1 x 145010155 x 290020329 x 50003597 x 149495145 x 100007485 x 298991031 x 140652813 x 5155
Negative: -1 x -14501015-5 x -2900203-29 x -500035-97 x -149495-145 x -100007-485 x -29899-1031 x -14065-2813 x -5155


How do I find the factor combinations of the number 14,501,015?

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 14,501,015, 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 14,501,015
-1 -14,501,015

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 14,501,015.

Example:
1 x 14,501,015 = 14,501,015
and
-1 x -14,501,015 = 14,501,015
Notice both answers equal 14,501,015

With that explanation out of the way, let's continue. Next, we take the number 14,501,015 and divide it by 2:

14,501,015 ÷ 2 = 7,250,507.5

If the quotient is a whole number, then 2 and 7,250,507.5 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 14,501,015
-1 -14,501,015

Now, we try dividing 14,501,015 by 3:

14,501,015 ÷ 3 = 4,833,671.6667

If the quotient is a whole number, then 3 and 4,833,671.6667 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 14,501,015
-1 -14,501,015

Let's try dividing by 4:

14,501,015 ÷ 4 = 3,625,253.75

If the quotient is a whole number, then 4 and 3,625,253.75 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 14,501,015
-1 14,501,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1529971454851,0312,8135,15514,06529,899100,007149,495500,0352,900,20314,501,015
-1-5-29-97-145-485-1,031-2,813-5,155-14,065-29,899-100,007-149,495-500,035-2,900,203-14,501,015

More Examples

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