Q: What are the factor combinations of the number 315,152,425?

 A:
Positive:   1 x 3151524255 x 630304857 x 4502177525 x 1260609729 x 1086732535 x 9004355145 x 2173465175 x 1800871203 x 1552475725 x 4346931015 x 3104955075 x 62099
Negative: -1 x -315152425-5 x -63030485-7 x -45021775-25 x -12606097-29 x -10867325-35 x -9004355-145 x -2173465-175 x -1800871-203 x -1552475-725 x -434693-1015 x -310495-5075 x -62099


How do I find the factor combinations of the number 315,152,425?

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 315,152,425, 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.

1 315,152,425
-1 -315,152,425

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 315,152,425.

Example:
1 x 315,152,425 = 315,152,425
and
-1 x -315,152,425 = 315,152,425
Notice both answers equal 315,152,425

With that explanation out of the way, let's continue. Next, we take the number 315,152,425 and divide it by 2:

315,152,425 ÷ 2 = 157,576,212.5

If the quotient is a whole number, then 2 and 157,576,212.5 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:

1 315,152,425
-1 -315,152,425

Now, we try dividing 315,152,425 by 3:

315,152,425 ÷ 3 = 105,050,808.3333

If the quotient is a whole number, then 3 and 105,050,808.3333 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:

1 315,152,425
-1 -315,152,425

Let's try dividing by 4:

315,152,425 ÷ 4 = 78,788,106.25

If the quotient is a whole number, then 4 and 78,788,106.25 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:

1 315,152,425
-1 315,152,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572529351451752037251,0155,07562,099310,495434,6931,552,4751,800,8712,173,4659,004,35510,867,32512,606,09745,021,77563,030,485315,152,425
-1-5-7-25-29-35-145-175-203-725-1,015-5,075-62,099-310,495-434,693-1,552,475-1,800,871-2,173,465-9,004,355-10,867,325-12,606,097-45,021,775-63,030,485-315,152,425

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