Q: What are the factor combinations of the number 3,467,425?

 A:
Positive:   1 x 34674255 x 69348513 x 26672525 x 13869747 x 7377565 x 53345227 x 15275235 x 14755325 x 10669611 x 56751135 x 30551175 x 2951
Negative: -1 x -3467425-5 x -693485-13 x -266725-25 x -138697-47 x -73775-65 x -53345-227 x -15275-235 x -14755-325 x -10669-611 x -5675-1135 x -3055-1175 x -2951


How do I find the factor combinations of the number 3,467,425?

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 3,467,425, 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 3,467,425
-1 -3,467,425

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 3,467,425.

Example:
1 x 3,467,425 = 3,467,425
and
-1 x -3,467,425 = 3,467,425
Notice both answers equal 3,467,425

With that explanation out of the way, let's continue. Next, we take the number 3,467,425 and divide it by 2:

3,467,425 ÷ 2 = 1,733,712.5

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

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

3,467,425 ÷ 3 = 1,155,808.3333

If the quotient is a whole number, then 3 and 1,155,808.3333 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 3,467,425
-1 -3,467,425

Let's try dividing by 4:

3,467,425 ÷ 4 = 866,856.25

If the quotient is a whole number, then 4 and 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 3,467,425
-1 3,467,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15132547652272353256111,1351,1752,9513,0555,67510,66914,75515,27553,34573,775138,697266,725693,4853,467,425
-1-5-13-25-47-65-227-235-325-611-1,135-1,175-2,951-3,055-5,675-10,669-14,755-15,275-53,345-73,775-138,697-266,725-693,485-3,467,425

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