Q: What are the factor combinations of the number 177,117,017?

 A:
Positive:   1 x 1771170177 x 2530243111 x 1610154749 x 361463377 x 2300221121 x 1463777539 x 328603847 x 2091115929 x 29873
Negative: -1 x -177117017-7 x -25302431-11 x -16101547-49 x -3614633-77 x -2300221-121 x -1463777-539 x -328603-847 x -209111-5929 x -29873


How do I find the factor combinations of the number 177,117,017?

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 177,117,017, 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.

1 177,117,017
-1 -177,117,017

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 177,117,017.

Example:
1 x 177,117,017 = 177,117,017
and
-1 x -177,117,017 = 177,117,017
Notice both answers equal 177,117,017

With that explanation out of the way, let's continue. Next, we take the number 177,117,017 and divide it by 2:

177,117,017 ÷ 2 = 88,558,508.5

If the quotient is a whole number, then 2 and 88,558,508.5 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:

1 177,117,017
-1 -177,117,017

Now, we try dividing 177,117,017 by 3:

177,117,017 ÷ 3 = 59,039,005.6667

If the quotient is a whole number, then 3 and 59,039,005.6667 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:

1 177,117,017
-1 -177,117,017

Let's try dividing by 4:

177,117,017 ÷ 4 = 44,279,254.25

If the quotient is a whole number, then 4 and 44,279,254.25 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:

1 177,117,017
-1 177,117,017
Keep dividing by the next highest number until you cannot divide anymore.

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

171149771215398475,92929,873209,111328,6031,463,7772,300,2213,614,63316,101,54725,302,431177,117,017
-1-7-11-49-77-121-539-847-5,929-29,873-209,111-328,603-1,463,777-2,300,221-3,614,633-16,101,547-25,302,431-177,117,017

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