Q: What are the factor combinations of the number 312,470,249?

 A:
Positive:   1 x 3124702497 x 4463860713 x 2403617323 x 1358566391 x 3433739161 x 1940809299 x 1045051529 x 5906812093 x 1492933703 x 843836491 x 481396877 x 45437
Negative: -1 x -312470249-7 x -44638607-13 x -24036173-23 x -13585663-91 x -3433739-161 x -1940809-299 x -1045051-529 x -590681-2093 x -149293-3703 x -84383-6491 x -48139-6877 x -45437


How do I find the factor combinations of the number 312,470,249?

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 312,470,249, 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.

1 312,470,249
-1 -312,470,249

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 312,470,249.

Example:
1 x 312,470,249 = 312,470,249
and
-1 x -312,470,249 = 312,470,249
Notice both answers equal 312,470,249

With that explanation out of the way, let's continue. Next, we take the number 312,470,249 and divide it by 2:

312,470,249 ÷ 2 = 156,235,124.5

If the quotient is a whole number, then 2 and 156,235,124.5 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:

1 312,470,249
-1 -312,470,249

Now, we try dividing 312,470,249 by 3:

312,470,249 ÷ 3 = 104,156,749.6667

If the quotient is a whole number, then 3 and 104,156,749.6667 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:

1 312,470,249
-1 -312,470,249

Let's try dividing by 4:

312,470,249 ÷ 4 = 78,117,562.25

If the quotient is a whole number, then 4 and 78,117,562.25 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:

1 312,470,249
-1 312,470,249
Keep dividing by the next highest number until you cannot divide anymore.

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

171323911612995292,0933,7036,4916,87745,43748,13984,383149,293590,6811,045,0511,940,8093,433,73913,585,66324,036,17344,638,607312,470,249
-1-7-13-23-91-161-299-529-2,093-3,703-6,491-6,877-45,437-48,139-84,383-149,293-590,681-1,045,051-1,940,809-3,433,739-13,585,663-24,036,173-44,638,607-312,470,249

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 312,470,249:


Ask a Question