Q: What are the factor combinations of the number 317,307,725?

 A:
Positive:   1 x 3173077255 x 634615457 x 4532967525 x 1269230935 x 9065935175 x 1813187919 x 3452751973 x 1608254595 x 690556433 x 493259865 x 3216513811 x 22975
Negative: -1 x -317307725-5 x -63461545-7 x -45329675-25 x -12692309-35 x -9065935-175 x -1813187-919 x -345275-1973 x -160825-4595 x -69055-6433 x -49325-9865 x -32165-13811 x -22975


How do I find the factor combinations of the number 317,307,725?

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 317,307,725, 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.

1 317,307,725
-1 -317,307,725

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 317,307,725.

Example:
1 x 317,307,725 = 317,307,725
and
-1 x -317,307,725 = 317,307,725
Notice both answers equal 317,307,725

With that explanation out of the way, let's continue. Next, we take the number 317,307,725 and divide it by 2:

317,307,725 ÷ 2 = 158,653,862.5

If the quotient is a whole number, then 2 and 158,653,862.5 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:

1 317,307,725
-1 -317,307,725

Now, we try dividing 317,307,725 by 3:

317,307,725 ÷ 3 = 105,769,241.6667

If the quotient is a whole number, then 3 and 105,769,241.6667 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:

1 317,307,725
-1 -317,307,725

Let's try dividing by 4:

317,307,725 ÷ 4 = 79,326,931.25

If the quotient is a whole number, then 4 and 79,326,931.25 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:

1 317,307,725
-1 317,307,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351759191,9734,5956,4339,86513,81122,97532,16549,32569,055160,825345,2751,813,1879,065,93512,692,30945,329,67563,461,545317,307,725
-1-5-7-25-35-175-919-1,973-4,595-6,433-9,865-13,811-22,975-32,165-49,325-69,055-160,825-345,275-1,813,187-9,065,935-12,692,309-45,329,675-63,461,545-317,307,725

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