Q: What are the factor combinations of the number 7,485,925?

 A:
Positive:   1 x 74859255 x 149718523 x 32547525 x 29943747 x 159275115 x 65095235 x 31855277 x 27025575 x 130191081 x 69251175 x 63711385 x 5405
Negative: -1 x -7485925-5 x -1497185-23 x -325475-25 x -299437-47 x -159275-115 x -65095-235 x -31855-277 x -27025-575 x -13019-1081 x -6925-1175 x -6371-1385 x -5405


How do I find the factor combinations of the number 7,485,925?

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 7,485,925, 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 7,485,925
-1 -7,485,925

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 7,485,925.

Example:
1 x 7,485,925 = 7,485,925
and
-1 x -7,485,925 = 7,485,925
Notice both answers equal 7,485,925

With that explanation out of the way, let's continue. Next, we take the number 7,485,925 and divide it by 2:

7,485,925 ÷ 2 = 3,742,962.5

If the quotient is a whole number, then 2 and 3,742,962.5 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 7,485,925
-1 -7,485,925

Now, we try dividing 7,485,925 by 3:

7,485,925 ÷ 3 = 2,495,308.3333

If the quotient is a whole number, then 3 and 2,495,308.3333 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 7,485,925
-1 -7,485,925

Let's try dividing by 4:

7,485,925 ÷ 4 = 1,871,481.25

If the quotient is a whole number, then 4 and 1,871,481.25 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 7,485,925
-1 7,485,925
Keep dividing by the next highest number until you cannot divide anymore.

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

152325471152352775751,0811,1751,3855,4056,3716,92513,01927,02531,85565,095159,275299,437325,4751,497,1857,485,925
-1-5-23-25-47-115-235-277-575-1,081-1,175-1,385-5,405-6,371-6,925-13,019-27,025-31,855-65,095-159,275-299,437-325,475-1,497,185-7,485,925

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