Q: What are the factor combinations of the number 317,560,153?

 A:
Positive:   1 x 31756015317 x 1868000947 x 675659953 x 5991701799 x 397447901 x 3524532491 x 1274837499 x 42347
Negative: -1 x -317560153-17 x -18680009-47 x -6756599-53 x -5991701-799 x -397447-901 x -352453-2491 x -127483-7499 x -42347


How do I find the factor combinations of the number 317,560,153?

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 317,560,153, 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.

1 317,560,153
-1 -317,560,153

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 317,560,153.

Example:
1 x 317,560,153 = 317,560,153
and
-1 x -317,560,153 = 317,560,153
Notice both answers equal 317,560,153

With that explanation out of the way, let's continue. Next, we take the number 317,560,153 and divide it by 2:

317,560,153 ÷ 2 = 158,780,076.5

If the quotient is a whole number, then 2 and 158,780,076.5 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:

1 317,560,153
-1 -317,560,153

Now, we try dividing 317,560,153 by 3:

317,560,153 ÷ 3 = 105,853,384.3333

If the quotient is a whole number, then 3 and 105,853,384.3333 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:

1 317,560,153
-1 -317,560,153

Let's try dividing by 4:

317,560,153 ÷ 4 = 79,390,038.25

If the quotient is a whole number, then 4 and 79,390,038.25 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:

1 317,560,153
-1 317,560,153
Keep dividing by the next highest number until you cannot divide anymore.

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

11747537999012,4917,49942,347127,483352,453397,4475,991,7016,756,59918,680,009317,560,153
-1-17-47-53-799-901-2,491-7,499-42,347-127,483-352,453-397,447-5,991,701-6,756,599-18,680,009-317,560,153

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