Q: What are the factor combinations of the number 164,240,651?

 A:
Positive:   1 x 16424065167 x 2451353829 x 1981192957 x 55543
Negative: -1 x -164240651-67 x -2451353-829 x -198119-2957 x -55543


How do I find the factor combinations of the number 164,240,651?

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 164,240,651, 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.

1 164,240,651
-1 -164,240,651

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 164,240,651.

Example:
1 x 164,240,651 = 164,240,651
and
-1 x -164,240,651 = 164,240,651
Notice both answers equal 164,240,651

With that explanation out of the way, let's continue. Next, we take the number 164,240,651 and divide it by 2:

164,240,651 ÷ 2 = 82,120,325.5

If the quotient is a whole number, then 2 and 82,120,325.5 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:

1 164,240,651
-1 -164,240,651

Now, we try dividing 164,240,651 by 3:

164,240,651 ÷ 3 = 54,746,883.6667

If the quotient is a whole number, then 3 and 54,746,883.6667 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:

1 164,240,651
-1 -164,240,651

Let's try dividing by 4:

164,240,651 ÷ 4 = 41,060,162.75

If the quotient is a whole number, then 4 and 41,060,162.75 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:

1 164,240,651
-1 164,240,651
Keep dividing by the next highest number until you cannot divide anymore.

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

1678292,95755,543198,1192,451,353164,240,651
-1-67-829-2,957-55,543-198,119-2,451,353-164,240,651

More Examples

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