Q: What are the factor combinations of the number 164,323,523?

 A:
Positive:   1 x 1643235237 x 2347478913 x 1264027123 x 714450191 x 1805753161 x 1020643299 x 5495772093 x 78511
Negative: -1 x -164323523-7 x -23474789-13 x -12640271-23 x -7144501-91 x -1805753-161 x -1020643-299 x -549577-2093 x -78511


How do I find the factor combinations of the number 164,323,523?

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 164,323,523, 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.

1 164,323,523
-1 -164,323,523

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 164,323,523.

Example:
1 x 164,323,523 = 164,323,523
and
-1 x -164,323,523 = 164,323,523
Notice both answers equal 164,323,523

With that explanation out of the way, let's continue. Next, we take the number 164,323,523 and divide it by 2:

164,323,523 ÷ 2 = 82,161,761.5

If the quotient is a whole number, then 2 and 82,161,761.5 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:

1 164,323,523
-1 -164,323,523

Now, we try dividing 164,323,523 by 3:

164,323,523 ÷ 3 = 54,774,507.6667

If the quotient is a whole number, then 3 and 54,774,507.6667 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:

1 164,323,523
-1 -164,323,523

Let's try dividing by 4:

164,323,523 ÷ 4 = 41,080,880.75

If the quotient is a whole number, then 4 and 41,080,880.75 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:

1 164,323,523
-1 164,323,523
Keep dividing by the next highest number until you cannot divide anymore.

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

171323911612992,09378,511549,5771,020,6431,805,7537,144,50112,640,27123,474,789164,323,523
-1-7-13-23-91-161-299-2,093-78,511-549,577-1,020,643-1,805,753-7,144,501-12,640,271-23,474,789-164,323,523

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 164,323,523:


Ask a Question