Q: What are the factor combinations of the number 34,752,427?

 A:
Positive:   1 x 34752427
Negative: -1 x -34752427


How do I find the factor combinations of the number 34,752,427?

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 34,752,427, 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 34,752,427
-1 -34,752,427

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 34,752,427.

Example:
1 x 34,752,427 = 34,752,427
and
-1 x -34,752,427 = 34,752,427
Notice both answers equal 34,752,427

With that explanation out of the way, let's continue. Next, we take the number 34,752,427 and divide it by 2:

34,752,427 ÷ 2 = 17,376,213.5

If the quotient is a whole number, then 2 and 17,376,213.5 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 34,752,427
-1 -34,752,427

Now, we try dividing 34,752,427 by 3:

34,752,427 ÷ 3 = 11,584,142.3333

If the quotient is a whole number, then 3 and 11,584,142.3333 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 34,752,427
-1 -34,752,427

Let's try dividing by 4:

34,752,427 ÷ 4 = 8,688,106.75

If the quotient is a whole number, then 4 and 8,688,106.75 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 34,752,427
-1 34,752,427
Keep dividing by the next highest number until you cannot divide anymore.

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

134,752,427
-1-34,752,427

More Examples

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