Q: What are the factor combinations of the number 177,445,165?

 A:
Positive:   1 x 1774451655 x 35489033193 x 919405965 x 183881
Negative: -1 x -177445165-5 x -35489033-193 x -919405-965 x -183881


How do I find the factor combinations of the number 177,445,165?

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 177,445,165, 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.

1 177,445,165
-1 -177,445,165

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 177,445,165.

Example:
1 x 177,445,165 = 177,445,165
and
-1 x -177,445,165 = 177,445,165
Notice both answers equal 177,445,165

With that explanation out of the way, let's continue. Next, we take the number 177,445,165 and divide it by 2:

177,445,165 ÷ 2 = 88,722,582.5

If the quotient is a whole number, then 2 and 88,722,582.5 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:

1 177,445,165
-1 -177,445,165

Now, we try dividing 177,445,165 by 3:

177,445,165 ÷ 3 = 59,148,388.3333

If the quotient is a whole number, then 3 and 59,148,388.3333 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:

1 177,445,165
-1 -177,445,165

Let's try dividing by 4:

177,445,165 ÷ 4 = 44,361,291.25

If the quotient is a whole number, then 4 and 44,361,291.25 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:

1 177,445,165
-1 177,445,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15193965183,881919,40535,489,033177,445,165
-1-5-193-965-183,881-919,405-35,489,033-177,445,165

More Examples

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