Q: What are the factor combinations of the number 164,246,665?

 A:
Positive:   1 x 1642466655 x 3284933311 x 1493151555 x 2986303509 x 3226852545 x 645375599 x 293355867 x 27995
Negative: -1 x -164246665-5 x -32849333-11 x -14931515-55 x -2986303-509 x -322685-2545 x -64537-5599 x -29335-5867 x -27995


How do I find the factor combinations of the number 164,246,665?

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 164,246,665, 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.

1 164,246,665
-1 -164,246,665

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 164,246,665.

Example:
1 x 164,246,665 = 164,246,665
and
-1 x -164,246,665 = 164,246,665
Notice both answers equal 164,246,665

With that explanation out of the way, let's continue. Next, we take the number 164,246,665 and divide it by 2:

164,246,665 ÷ 2 = 82,123,332.5

If the quotient is a whole number, then 2 and 82,123,332.5 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:

1 164,246,665
-1 -164,246,665

Now, we try dividing 164,246,665 by 3:

164,246,665 ÷ 3 = 54,748,888.3333

If the quotient is a whole number, then 3 and 54,748,888.3333 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:

1 164,246,665
-1 -164,246,665

Let's try dividing by 4:

164,246,665 ÷ 4 = 41,061,666.25

If the quotient is a whole number, then 4 and 41,061,666.25 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:

1 164,246,665
-1 164,246,665
Keep dividing by the next highest number until you cannot divide anymore.

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

1511555092,5455,5995,86727,99529,33564,537322,6852,986,30314,931,51532,849,333164,246,665
-1-5-11-55-509-2,545-5,599-5,867-27,995-29,335-64,537-322,685-2,986,303-14,931,515-32,849,333-164,246,665

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