Q: What are the factor combinations of the number 164,502,551?

 A:
Positive:   1 x 16450255119 x 86580291609 x 1022395381 x 30571
Negative: -1 x -164502551-19 x -8658029-1609 x -102239-5381 x -30571


How do I find the factor combinations of the number 164,502,551?

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 164,502,551, 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.

1 164,502,551
-1 -164,502,551

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 164,502,551.

Example:
1 x 164,502,551 = 164,502,551
and
-1 x -164,502,551 = 164,502,551
Notice both answers equal 164,502,551

With that explanation out of the way, let's continue. Next, we take the number 164,502,551 and divide it by 2:

164,502,551 ÷ 2 = 82,251,275.5

If the quotient is a whole number, then 2 and 82,251,275.5 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:

1 164,502,551
-1 -164,502,551

Now, we try dividing 164,502,551 by 3:

164,502,551 ÷ 3 = 54,834,183.6667

If the quotient is a whole number, then 3 and 54,834,183.6667 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:

1 164,502,551
-1 -164,502,551

Let's try dividing by 4:

164,502,551 ÷ 4 = 41,125,637.75

If the quotient is a whole number, then 4 and 41,125,637.75 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:

1 164,502,551
-1 164,502,551
Keep dividing by the next highest number until you cannot divide anymore.

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

1191,6095,38130,571102,2398,658,029164,502,551
-1-19-1,609-5,381-30,571-102,239-8,658,029-164,502,551

More Examples

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