Q: What are the factor combinations of the number 164,032,135?

 A:
Positive:   1 x 1640321355 x 32806427103 x 1592545431 x 380585515 x 318509739 x 2219652155 x 761173695 x 44393
Negative: -1 x -164032135-5 x -32806427-103 x -1592545-431 x -380585-515 x -318509-739 x -221965-2155 x -76117-3695 x -44393


How do I find the factor combinations of the number 164,032,135?

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 164,032,135, 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.

1 164,032,135
-1 -164,032,135

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 164,032,135.

Example:
1 x 164,032,135 = 164,032,135
and
-1 x -164,032,135 = 164,032,135
Notice both answers equal 164,032,135

With that explanation out of the way, let's continue. Next, we take the number 164,032,135 and divide it by 2:

164,032,135 ÷ 2 = 82,016,067.5

If the quotient is a whole number, then 2 and 82,016,067.5 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:

1 164,032,135
-1 -164,032,135

Now, we try dividing 164,032,135 by 3:

164,032,135 ÷ 3 = 54,677,378.3333

If the quotient is a whole number, then 3 and 54,677,378.3333 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:

1 164,032,135
-1 -164,032,135

Let's try dividing by 4:

164,032,135 ÷ 4 = 41,008,033.75

If the quotient is a whole number, then 4 and 41,008,033.75 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:

1 164,032,135
-1 164,032,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151034315157392,1553,69544,39376,117221,965318,509380,5851,592,54532,806,427164,032,135
-1-5-103-431-515-739-2,155-3,695-44,393-76,117-221,965-318,509-380,585-1,592,545-32,806,427-164,032,135

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