Q: What are the factor combinations of the number 7,467,925?

 A:
Positive:   1 x 74679255 x 149358525 x 29871759 x 12657561 x 12242583 x 89975295 x 25315305 x 24485415 x 179951475 x 50631525 x 48972075 x 3599
Negative: -1 x -7467925-5 x -1493585-25 x -298717-59 x -126575-61 x -122425-83 x -89975-295 x -25315-305 x -24485-415 x -17995-1475 x -5063-1525 x -4897-2075 x -3599


How do I find the factor combinations of the number 7,467,925?

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 7,467,925, 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 7,467,925
-1 -7,467,925

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 7,467,925.

Example:
1 x 7,467,925 = 7,467,925
and
-1 x -7,467,925 = 7,467,925
Notice both answers equal 7,467,925

With that explanation out of the way, let's continue. Next, we take the number 7,467,925 and divide it by 2:

7,467,925 ÷ 2 = 3,733,962.5

If the quotient is a whole number, then 2 and 3,733,962.5 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 7,467,925
-1 -7,467,925

Now, we try dividing 7,467,925 by 3:

7,467,925 ÷ 3 = 2,489,308.3333

If the quotient is a whole number, then 3 and 2,489,308.3333 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 7,467,925
-1 -7,467,925

Let's try dividing by 4:

7,467,925 ÷ 4 = 1,866,981.25

If the quotient is a whole number, then 4 and 1,866,981.25 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 7,467,925
-1 7,467,925
Keep dividing by the next highest number until you cannot divide anymore.

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

15255961832953054151,4751,5252,0753,5994,8975,06317,99524,48525,31589,975122,425126,575298,7171,493,5857,467,925
-1-5-25-59-61-83-295-305-415-1,475-1,525-2,075-3,599-4,897-5,063-17,995-24,485-25,315-89,975-122,425-126,575-298,717-1,493,585-7,467,925

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