Q: What are the factor combinations of the number 163,277,777?

 A:
Positive:   1 x 16327777713 x 1255982971 x 2299687923 x 176899
Negative: -1 x -163277777-13 x -12559829-71 x -2299687-923 x -176899


How do I find the factor combinations of the number 163,277,777?

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 163,277,777, 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.

1 163,277,777
-1 -163,277,777

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 163,277,777.

Example:
1 x 163,277,777 = 163,277,777
and
-1 x -163,277,777 = 163,277,777
Notice both answers equal 163,277,777

With that explanation out of the way, let's continue. Next, we take the number 163,277,777 and divide it by 2:

163,277,777 ÷ 2 = 81,638,888.5

If the quotient is a whole number, then 2 and 81,638,888.5 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:

1 163,277,777
-1 -163,277,777

Now, we try dividing 163,277,777 by 3:

163,277,777 ÷ 3 = 54,425,925.6667

If the quotient is a whole number, then 3 and 54,425,925.6667 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:

1 163,277,777
-1 -163,277,777

Let's try dividing by 4:

163,277,777 ÷ 4 = 40,819,444.25

If the quotient is a whole number, then 4 and 40,819,444.25 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:

1 163,277,777
-1 163,277,777
Keep dividing by the next highest number until you cannot divide anymore.

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

11371923176,8992,299,68712,559,829163,277,777
-1-13-71-923-176,899-2,299,687-12,559,829-163,277,777

More Examples

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