Q: What are the factor combinations of the number 134,003,431?

 A:
Positive:   1 x 134003431
Negative: -1 x -134003431


How do I find the factor combinations of the number 134,003,431?

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 134,003,431, 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.

1 134,003,431
-1 -134,003,431

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 134,003,431.

Example:
1 x 134,003,431 = 134,003,431
and
-1 x -134,003,431 = 134,003,431
Notice both answers equal 134,003,431

With that explanation out of the way, let's continue. Next, we take the number 134,003,431 and divide it by 2:

134,003,431 ÷ 2 = 67,001,715.5

If the quotient is a whole number, then 2 and 67,001,715.5 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:

1 134,003,431
-1 -134,003,431

Now, we try dividing 134,003,431 by 3:

134,003,431 ÷ 3 = 44,667,810.3333

If the quotient is a whole number, then 3 and 44,667,810.3333 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:

1 134,003,431
-1 -134,003,431

Let's try dividing by 4:

134,003,431 ÷ 4 = 33,500,857.75

If the quotient is a whole number, then 4 and 33,500,857.75 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:

1 134,003,431
-1 134,003,431
Keep dividing by the next highest number until you cannot divide anymore.

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

1134,003,431
-1-134,003,431

More Examples

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