Q: What are the factor combinations of the number 34,425,125?

 A:
Positive:   1 x 344251255 x 68850257 x 491787525 x 137700535 x 983575125 x 275401175 x 196715875 x 39343
Negative: -1 x -34425125-5 x -6885025-7 x -4917875-25 x -1377005-35 x -983575-125 x -275401-175 x -196715-875 x -39343


How do I find the factor combinations of the number 34,425,125?

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 34,425,125, 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 34,425,125
-1 -34,425,125

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 34,425,125.

Example:
1 x 34,425,125 = 34,425,125
and
-1 x -34,425,125 = 34,425,125
Notice both answers equal 34,425,125

With that explanation out of the way, let's continue. Next, we take the number 34,425,125 and divide it by 2:

34,425,125 ÷ 2 = 17,212,562.5

If the quotient is a whole number, then 2 and 17,212,562.5 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 34,425,125
-1 -34,425,125

Now, we try dividing 34,425,125 by 3:

34,425,125 ÷ 3 = 11,475,041.6667

If the quotient is a whole number, then 3 and 11,475,041.6667 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 34,425,125
-1 -34,425,125

Let's try dividing by 4:

34,425,125 ÷ 4 = 8,606,281.25

If the quotient is a whole number, then 4 and 8,606,281.25 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 34,425,125
-1 34,425,125
Keep dividing by the next highest number until you cannot divide anymore.

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

157253512517587539,343196,715275,401983,5751,377,0054,917,8756,885,02534,425,125
-1-5-7-25-35-125-175-875-39,343-196,715-275,401-983,575-1,377,005-4,917,875-6,885,025-34,425,125

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