Q: What are the factor combinations of the number 134,460,431?

 A:
Positive:   1 x 1344604317 x 19208633137 x 981463149 x 902419941 x 142891959 x 1402091043 x 1289176587 x 20413
Negative: -1 x -134460431-7 x -19208633-137 x -981463-149 x -902419-941 x -142891-959 x -140209-1043 x -128917-6587 x -20413


How do I find the factor combinations of the number 134,460,431?

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 134,460,431, 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.

1 134,460,431
-1 -134,460,431

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 134,460,431.

Example:
1 x 134,460,431 = 134,460,431
and
-1 x -134,460,431 = 134,460,431
Notice both answers equal 134,460,431

With that explanation out of the way, let's continue. Next, we take the number 134,460,431 and divide it by 2:

134,460,431 ÷ 2 = 67,230,215.5

If the quotient is a whole number, then 2 and 67,230,215.5 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:

1 134,460,431
-1 -134,460,431

Now, we try dividing 134,460,431 by 3:

134,460,431 ÷ 3 = 44,820,143.6667

If the quotient is a whole number, then 3 and 44,820,143.6667 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:

1 134,460,431
-1 -134,460,431

Let's try dividing by 4:

134,460,431 ÷ 4 = 33,615,107.75

If the quotient is a whole number, then 4 and 33,615,107.75 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:

1 134,460,431
-1 134,460,431
Keep dividing by the next highest number until you cannot divide anymore.

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

171371499419591,0436,58720,413128,917140,209142,891902,419981,46319,208,633134,460,431
-1-7-137-149-941-959-1,043-6,587-20,413-128,917-140,209-142,891-902,419-981,463-19,208,633-134,460,431

More Examples

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