Q: What are the factor combinations of the number 246,132,467?

 A:
Positive:   1 x 2461324677 x 3516178131 x 793975747 x 5236861217 x 1134251329 x 7481231457 x 16893110199 x 24133
Negative: -1 x -246132467-7 x -35161781-31 x -7939757-47 x -5236861-217 x -1134251-329 x -748123-1457 x -168931-10199 x -24133


How do I find the factor combinations of the number 246,132,467?

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 246,132,467, 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.

1 246,132,467
-1 -246,132,467

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 246,132,467.

Example:
1 x 246,132,467 = 246,132,467
and
-1 x -246,132,467 = 246,132,467
Notice both answers equal 246,132,467

With that explanation out of the way, let's continue. Next, we take the number 246,132,467 and divide it by 2:

246,132,467 ÷ 2 = 123,066,233.5

If the quotient is a whole number, then 2 and 123,066,233.5 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:

1 246,132,467
-1 -246,132,467

Now, we try dividing 246,132,467 by 3:

246,132,467 ÷ 3 = 82,044,155.6667

If the quotient is a whole number, then 3 and 82,044,155.6667 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:

1 246,132,467
-1 -246,132,467

Let's try dividing by 4:

246,132,467 ÷ 4 = 61,533,116.75

If the quotient is a whole number, then 4 and 61,533,116.75 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:

1 246,132,467
-1 246,132,467
Keep dividing by the next highest number until you cannot divide anymore.

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

1731472173291,45710,19924,133168,931748,1231,134,2515,236,8617,939,75735,161,781246,132,467
-1-7-31-47-217-329-1,457-10,199-24,133-168,931-748,123-1,134,251-5,236,861-7,939,757-35,161,781-246,132,467

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