Q: What are the factor combinations of the number 177,371,047?

 A:
Positive:   1 x 1773710477 x 2533872117 x 1043359129 x 6116243103 x 1722049119 x 1490513203 x 873749493 x 359779499 x 355453721 x 2460071751 x 1012972987 x 593813451 x 513973493 x 507798483 x 2090912257 x 14471
Negative: -1 x -177371047-7 x -25338721-17 x -10433591-29 x -6116243-103 x -1722049-119 x -1490513-203 x -873749-493 x -359779-499 x -355453-721 x -246007-1751 x -101297-2987 x -59381-3451 x -51397-3493 x -50779-8483 x -20909-12257 x -14471


How do I find the factor combinations of the number 177,371,047?

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 177,371,047, 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.

1 177,371,047
-1 -177,371,047

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 177,371,047.

Example:
1 x 177,371,047 = 177,371,047
and
-1 x -177,371,047 = 177,371,047
Notice both answers equal 177,371,047

With that explanation out of the way, let's continue. Next, we take the number 177,371,047 and divide it by 2:

177,371,047 ÷ 2 = 88,685,523.5

If the quotient is a whole number, then 2 and 88,685,523.5 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:

1 177,371,047
-1 -177,371,047

Now, we try dividing 177,371,047 by 3:

177,371,047 ÷ 3 = 59,123,682.3333

If the quotient is a whole number, then 3 and 59,123,682.3333 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:

1 177,371,047
-1 -177,371,047

Let's try dividing by 4:

177,371,047 ÷ 4 = 44,342,761.75

If the quotient is a whole number, then 4 and 44,342,761.75 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:

1 177,371,047
-1 177,371,047
Keep dividing by the next highest number until you cannot divide anymore.

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

1717291031192034934997211,7512,9873,4513,4938,48312,25714,47120,90950,77951,39759,381101,297246,007355,453359,779873,7491,490,5131,722,0496,116,24310,433,59125,338,721177,371,047
-1-7-17-29-103-119-203-493-499-721-1,751-2,987-3,451-3,493-8,483-12,257-14,471-20,909-50,779-51,397-59,381-101,297-246,007-355,453-359,779-873,749-1,490,513-1,722,049-6,116,243-10,433,591-25,338,721-177,371,047

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