Q: What are the factor combinations of the number 177,356,069?

 A:
Positive:   1 x 17735606911 x 16123279431 x 4114994741 x 37409
Negative: -1 x -177356069-11 x -16123279-431 x -411499-4741 x -37409


How do I find the factor combinations of the number 177,356,069?

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 177,356,069, 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.

1 177,356,069
-1 -177,356,069

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 177,356,069.

Example:
1 x 177,356,069 = 177,356,069
and
-1 x -177,356,069 = 177,356,069
Notice both answers equal 177,356,069

With that explanation out of the way, let's continue. Next, we take the number 177,356,069 and divide it by 2:

177,356,069 ÷ 2 = 88,678,034.5

If the quotient is a whole number, then 2 and 88,678,034.5 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:

1 177,356,069
-1 -177,356,069

Now, we try dividing 177,356,069 by 3:

177,356,069 ÷ 3 = 59,118,689.6667

If the quotient is a whole number, then 3 and 59,118,689.6667 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:

1 177,356,069
-1 -177,356,069

Let's try dividing by 4:

177,356,069 ÷ 4 = 44,339,017.25

If the quotient is a whole number, then 4 and 44,339,017.25 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:

1 177,356,069
-1 177,356,069
Keep dividing by the next highest number until you cannot divide anymore.

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

1114314,74137,409411,49916,123,279177,356,069
-1-11-431-4,741-37,409-411,499-16,123,279-177,356,069

More Examples

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