Q: What are the factor combinations of the number 7,315,165?

 A:
Positive:   1 x 73151655 x 146303311 x 66501513 x 56270555 x 13300365 x 112541143 x 51155169 x 43285715 x 10231787 x 9295845 x 86571859 x 3935
Negative: -1 x -7315165-5 x -1463033-11 x -665015-13 x -562705-55 x -133003-65 x -112541-143 x -51155-169 x -43285-715 x -10231-787 x -9295-845 x -8657-1859 x -3935


How do I find the factor combinations of the number 7,315,165?

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 7,315,165, 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 7,315,165
-1 -7,315,165

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 7,315,165.

Example:
1 x 7,315,165 = 7,315,165
and
-1 x -7,315,165 = 7,315,165
Notice both answers equal 7,315,165

With that explanation out of the way, let's continue. Next, we take the number 7,315,165 and divide it by 2:

7,315,165 ÷ 2 = 3,657,582.5

If the quotient is a whole number, then 2 and 3,657,582.5 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 7,315,165
-1 -7,315,165

Now, we try dividing 7,315,165 by 3:

7,315,165 ÷ 3 = 2,438,388.3333

If the quotient is a whole number, then 3 and 2,438,388.3333 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 7,315,165
-1 -7,315,165

Let's try dividing by 4:

7,315,165 ÷ 4 = 1,828,791.25

If the quotient is a whole number, then 4 and 1,828,791.25 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 7,315,165
-1 7,315,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651431697157878451,8593,9358,6579,29510,23143,28551,155112,541133,003562,705665,0151,463,0337,315,165
-1-5-11-13-55-65-143-169-715-787-845-1,859-3,935-8,657-9,295-10,231-43,285-51,155-112,541-133,003-562,705-665,015-1,463,033-7,315,165

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