Q: What are the factor combinations of the number 167,430,179?

 A:
Positive:   1 x 1674301797 x 2391859723 x 7279573113 x 1481683161 x 1039939791 x 2116692599 x 644219203 x 18193
Negative: -1 x -167430179-7 x -23918597-23 x -7279573-113 x -1481683-161 x -1039939-791 x -211669-2599 x -64421-9203 x -18193


How do I find the factor combinations of the number 167,430,179?

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 167,430,179, 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.

1 167,430,179
-1 -167,430,179

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 167,430,179.

Example:
1 x 167,430,179 = 167,430,179
and
-1 x -167,430,179 = 167,430,179
Notice both answers equal 167,430,179

With that explanation out of the way, let's continue. Next, we take the number 167,430,179 and divide it by 2:

167,430,179 ÷ 2 = 83,715,089.5

If the quotient is a whole number, then 2 and 83,715,089.5 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:

1 167,430,179
-1 -167,430,179

Now, we try dividing 167,430,179 by 3:

167,430,179 ÷ 3 = 55,810,059.6667

If the quotient is a whole number, then 3 and 55,810,059.6667 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:

1 167,430,179
-1 -167,430,179

Let's try dividing by 4:

167,430,179 ÷ 4 = 41,857,544.75

If the quotient is a whole number, then 4 and 41,857,544.75 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:

1 167,430,179
-1 167,430,179
Keep dividing by the next highest number until you cannot divide anymore.

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

17231131617912,5999,20318,19364,421211,6691,039,9391,481,6837,279,57323,918,597167,430,179
-1-7-23-113-161-791-2,599-9,203-18,193-64,421-211,669-1,039,939-1,481,683-7,279,573-23,918,597-167,430,179

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