Q: What are the factor combinations of the number 7,467,425?

 A:
Positive:   1 x 74674255 x 14934857 x 106677525 x 29869735 x 21335571 x 105175175 x 42671355 x 21035497 x 15025601 x 124251775 x 42072485 x 3005
Negative: -1 x -7467425-5 x -1493485-7 x -1066775-25 x -298697-35 x -213355-71 x -105175-175 x -42671-355 x -21035-497 x -15025-601 x -12425-1775 x -4207-2485 x -3005


How do I find the factor combinations of the number 7,467,425?

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 7,467,425, 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 7,467,425
-1 -7,467,425

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 7,467,425.

Example:
1 x 7,467,425 = 7,467,425
and
-1 x -7,467,425 = 7,467,425
Notice both answers equal 7,467,425

With that explanation out of the way, let's continue. Next, we take the number 7,467,425 and divide it by 2:

7,467,425 ÷ 2 = 3,733,712.5

If the quotient is a whole number, then 2 and 3,733,712.5 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 7,467,425
-1 -7,467,425

Now, we try dividing 7,467,425 by 3:

7,467,425 ÷ 3 = 2,489,141.6667

If the quotient is a whole number, then 3 and 2,489,141.6667 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 7,467,425
-1 -7,467,425

Let's try dividing by 4:

7,467,425 ÷ 4 = 1,866,856.25

If the quotient is a whole number, then 4 and 1,866,856.25 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 7,467,425
-1 7,467,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535711753554976011,7752,4853,0054,20712,42515,02521,03542,671105,175213,355298,6971,066,7751,493,4857,467,425
-1-5-7-25-35-71-175-355-497-601-1,775-2,485-3,005-4,207-12,425-15,025-21,035-42,671-105,175-213,355-298,697-1,066,775-1,493,485-7,467,425

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