Q: What are the factor combinations of the number 7,121,015?

 A:
Positive:   1 x 71210155 x 142420311 x 64736543 x 16560555 x 129473215 x 33121473 x 150552365 x 3011
Negative: -1 x -7121015-5 x -1424203-11 x -647365-43 x -165605-55 x -129473-215 x -33121-473 x -15055-2365 x -3011


How do I find the factor combinations of the number 7,121,015?

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 7,121,015, 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 7,121,015
-1 -7,121,015

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 7,121,015.

Example:
1 x 7,121,015 = 7,121,015
and
-1 x -7,121,015 = 7,121,015
Notice both answers equal 7,121,015

With that explanation out of the way, let's continue. Next, we take the number 7,121,015 and divide it by 2:

7,121,015 ÷ 2 = 3,560,507.5

If the quotient is a whole number, then 2 and 3,560,507.5 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 7,121,015
-1 -7,121,015

Now, we try dividing 7,121,015 by 3:

7,121,015 ÷ 3 = 2,373,671.6667

If the quotient is a whole number, then 3 and 2,373,671.6667 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 7,121,015
-1 -7,121,015

Let's try dividing by 4:

7,121,015 ÷ 4 = 1,780,253.75

If the quotient is a whole number, then 4 and 1,780,253.75 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 7,121,015
-1 7,121,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151143552154732,3653,01115,05533,121129,473165,605647,3651,424,2037,121,015
-1-5-11-43-55-215-473-2,365-3,011-15,055-33,121-129,473-165,605-647,365-1,424,203-7,121,015

More Examples

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