Q: What are the factor combinations of the number 317,556,349?

 A:
Positive:   1 x 31755634911 x 2886875959 x 538231167 x 4739647109 x 2913361649 x 489301737 x 4308771199 x 2648513953 x 803334489 x 707416431 x 493797303 x 43483
Negative: -1 x -317556349-11 x -28868759-59 x -5382311-67 x -4739647-109 x -2913361-649 x -489301-737 x -430877-1199 x -264851-3953 x -80333-4489 x -70741-6431 x -49379-7303 x -43483


How do I find the factor combinations of the number 317,556,349?

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 317,556,349, 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.

1 317,556,349
-1 -317,556,349

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 317,556,349.

Example:
1 x 317,556,349 = 317,556,349
and
-1 x -317,556,349 = 317,556,349
Notice both answers equal 317,556,349

With that explanation out of the way, let's continue. Next, we take the number 317,556,349 and divide it by 2:

317,556,349 ÷ 2 = 158,778,174.5

If the quotient is a whole number, then 2 and 158,778,174.5 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:

1 317,556,349
-1 -317,556,349

Now, we try dividing 317,556,349 by 3:

317,556,349 ÷ 3 = 105,852,116.3333

If the quotient is a whole number, then 3 and 105,852,116.3333 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:

1 317,556,349
-1 -317,556,349

Let's try dividing by 4:

317,556,349 ÷ 4 = 79,389,087.25

If the quotient is a whole number, then 4 and 79,389,087.25 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:

1 317,556,349
-1 317,556,349
Keep dividing by the next highest number until you cannot divide anymore.

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

11159671096497371,1993,9534,4896,4317,30343,48349,37970,74180,333264,851430,877489,3012,913,3614,739,6475,382,31128,868,759317,556,349
-1-11-59-67-109-649-737-1,199-3,953-4,489-6,431-7,303-43,483-49,379-70,741-80,333-264,851-430,877-489,301-2,913,361-4,739,647-5,382,311-28,868,759-317,556,349

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