Q: What are the factor combinations of the number 7,162,015?

 A:
Positive:   1 x 71620155 x 14324037 x 102314517 x 42129535 x 20462985 x 84259119 x 60185595 x 12037
Negative: -1 x -7162015-5 x -1432403-7 x -1023145-17 x -421295-35 x -204629-85 x -84259-119 x -60185-595 x -12037


How do I find the factor combinations of the number 7,162,015?

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 7,162,015, 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 7,162,015
-1 -7,162,015

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 7,162,015.

Example:
1 x 7,162,015 = 7,162,015
and
-1 x -7,162,015 = 7,162,015
Notice both answers equal 7,162,015

With that explanation out of the way, let's continue. Next, we take the number 7,162,015 and divide it by 2:

7,162,015 ÷ 2 = 3,581,007.5

If the quotient is a whole number, then 2 and 3,581,007.5 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 7,162,015
-1 -7,162,015

Now, we try dividing 7,162,015 by 3:

7,162,015 ÷ 3 = 2,387,338.3333

If the quotient is a whole number, then 3 and 2,387,338.3333 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 7,162,015
-1 -7,162,015

Let's try dividing by 4:

7,162,015 ÷ 4 = 1,790,503.75

If the quotient is a whole number, then 4 and 1,790,503.75 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 7,162,015
-1 7,162,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15717358511959512,03760,18584,259204,629421,2951,023,1451,432,4037,162,015
-1-5-7-17-35-85-119-595-12,037-60,185-84,259-204,629-421,295-1,023,145-1,432,403-7,162,015

More Examples

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