Q: What are the factor combinations of the number 315,524,675?

 A:
Positive:   1 x 3155246755 x 6310493517 x 1856027525 x 1262098785 x 3712055337 x 936275425 x 7424111685 x 1872552203 x 1432255729 x 550758425 x 3745111015 x 28645
Negative: -1 x -315524675-5 x -63104935-17 x -18560275-25 x -12620987-85 x -3712055-337 x -936275-425 x -742411-1685 x -187255-2203 x -143225-5729 x -55075-8425 x -37451-11015 x -28645


How do I find the factor combinations of the number 315,524,675?

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 315,524,675, 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.

1 315,524,675
-1 -315,524,675

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 315,524,675.

Example:
1 x 315,524,675 = 315,524,675
and
-1 x -315,524,675 = 315,524,675
Notice both answers equal 315,524,675

With that explanation out of the way, let's continue. Next, we take the number 315,524,675 and divide it by 2:

315,524,675 ÷ 2 = 157,762,337.5

If the quotient is a whole number, then 2 and 157,762,337.5 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:

1 315,524,675
-1 -315,524,675

Now, we try dividing 315,524,675 by 3:

315,524,675 ÷ 3 = 105,174,891.6667

If the quotient is a whole number, then 3 and 105,174,891.6667 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:

1 315,524,675
-1 -315,524,675

Let's try dividing by 4:

315,524,675 ÷ 4 = 78,881,168.75

If the quotient is a whole number, then 4 and 78,881,168.75 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:

1 315,524,675
-1 315,524,675
Keep dividing by the next highest number until you cannot divide anymore.

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

151725853374251,6852,2035,7298,42511,01528,64537,45155,075143,225187,255742,411936,2753,712,05512,620,98718,560,27563,104,935315,524,675
-1-5-17-25-85-337-425-1,685-2,203-5,729-8,425-11,015-28,645-37,451-55,075-143,225-187,255-742,411-936,275-3,712,055-12,620,987-18,560,275-63,104,935-315,524,675

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