Q: What are the factor combinations of the number 165,044,065?

 A:
Positive:   1 x 1650440655 x 3300881341 x 4025465205 x 805093337 x 4897451685 x 979492389 x 6908511945 x 13817
Negative: -1 x -165044065-5 x -33008813-41 x -4025465-205 x -805093-337 x -489745-1685 x -97949-2389 x -69085-11945 x -13817


How do I find the factor combinations of the number 165,044,065?

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 165,044,065, 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.

1 165,044,065
-1 -165,044,065

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 165,044,065.

Example:
1 x 165,044,065 = 165,044,065
and
-1 x -165,044,065 = 165,044,065
Notice both answers equal 165,044,065

With that explanation out of the way, let's continue. Next, we take the number 165,044,065 and divide it by 2:

165,044,065 ÷ 2 = 82,522,032.5

If the quotient is a whole number, then 2 and 82,522,032.5 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:

1 165,044,065
-1 -165,044,065

Now, we try dividing 165,044,065 by 3:

165,044,065 ÷ 3 = 55,014,688.3333

If the quotient is a whole number, then 3 and 55,014,688.3333 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:

1 165,044,065
-1 -165,044,065

Let's try dividing by 4:

165,044,065 ÷ 4 = 41,261,016.25

If the quotient is a whole number, then 4 and 41,261,016.25 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:

1 165,044,065
-1 165,044,065
Keep dividing by the next highest number until you cannot divide anymore.

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

15412053371,6852,38911,94513,81769,08597,949489,745805,0934,025,46533,008,813165,044,065
-1-5-41-205-337-1,685-2,389-11,945-13,817-69,085-97,949-489,745-805,093-4,025,465-33,008,813-165,044,065

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