Q: What are the factor combinations of the number 165,032,035?

 A:
Positive:   1 x 1650320355 x 330064077 x 2357600535 x 4715201
Negative: -1 x -165032035-5 x -33006407-7 x -23576005-35 x -4715201


How do I find the factor combinations of the number 165,032,035?

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 165,032,035, 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.

1 165,032,035
-1 -165,032,035

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 165,032,035.

Example:
1 x 165,032,035 = 165,032,035
and
-1 x -165,032,035 = 165,032,035
Notice both answers equal 165,032,035

With that explanation out of the way, let's continue. Next, we take the number 165,032,035 and divide it by 2:

165,032,035 ÷ 2 = 82,516,017.5

If the quotient is a whole number, then 2 and 82,516,017.5 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:

1 165,032,035
-1 -165,032,035

Now, we try dividing 165,032,035 by 3:

165,032,035 ÷ 3 = 55,010,678.3333

If the quotient is a whole number, then 3 and 55,010,678.3333 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:

1 165,032,035
-1 -165,032,035

Let's try dividing by 4:

165,032,035 ÷ 4 = 41,258,008.75

If the quotient is a whole number, then 4 and 41,258,008.75 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:

1 165,032,035
-1 165,032,035
Keep dividing by the next highest number until you cannot divide anymore.

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

157354,715,20123,576,00533,006,407165,032,035
-1-5-7-35-4,715,201-23,576,005-33,006,407-165,032,035

More Examples

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