Q: What are the factor combinations of the number 313,001,015?

 A:
Positive:   1 x 3130010155 x 6260020371 x 4408465355 x 881693617 x 5072951429 x 2190353085 x 1014597145 x 43807
Negative: -1 x -313001015-5 x -62600203-71 x -4408465-355 x -881693-617 x -507295-1429 x -219035-3085 x -101459-7145 x -43807


How do I find the factor combinations of the number 313,001,015?

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 313,001,015, 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.

1 313,001,015
-1 -313,001,015

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 313,001,015.

Example:
1 x 313,001,015 = 313,001,015
and
-1 x -313,001,015 = 313,001,015
Notice both answers equal 313,001,015

With that explanation out of the way, let's continue. Next, we take the number 313,001,015 and divide it by 2:

313,001,015 ÷ 2 = 156,500,507.5

If the quotient is a whole number, then 2 and 156,500,507.5 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:

1 313,001,015
-1 -313,001,015

Now, we try dividing 313,001,015 by 3:

313,001,015 ÷ 3 = 104,333,671.6667

If the quotient is a whole number, then 3 and 104,333,671.6667 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:

1 313,001,015
-1 -313,001,015

Let's try dividing by 4:

313,001,015 ÷ 4 = 78,250,253.75

If the quotient is a whole number, then 4 and 78,250,253.75 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:

1 313,001,015
-1 313,001,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15713556171,4293,0857,14543,807101,459219,035507,295881,6934,408,46562,600,203313,001,015
-1-5-71-355-617-1,429-3,085-7,145-43,807-101,459-219,035-507,295-881,693-4,408,465-62,600,203-313,001,015

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