Q: What are the factor combinations of the number 310,336,859?

 A:
Positive:   1 x 3103368597 x 4433383729 x 1070127189 x 3486931193 x 1607963203 x 1528753623 x 4981331351 x 2297092581 x 1202395597 x 554477921 x 3917917177 x 18067
Negative: -1 x -310336859-7 x -44333837-29 x -10701271-89 x -3486931-193 x -1607963-203 x -1528753-623 x -498133-1351 x -229709-2581 x -120239-5597 x -55447-7921 x -39179-17177 x -18067


How do I find the factor combinations of the number 310,336,859?

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 310,336,859, 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.

1 310,336,859
-1 -310,336,859

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 310,336,859.

Example:
1 x 310,336,859 = 310,336,859
and
-1 x -310,336,859 = 310,336,859
Notice both answers equal 310,336,859

With that explanation out of the way, let's continue. Next, we take the number 310,336,859 and divide it by 2:

310,336,859 ÷ 2 = 155,168,429.5

If the quotient is a whole number, then 2 and 155,168,429.5 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:

1 310,336,859
-1 -310,336,859

Now, we try dividing 310,336,859 by 3:

310,336,859 ÷ 3 = 103,445,619.6667

If the quotient is a whole number, then 3 and 103,445,619.6667 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:

1 310,336,859
-1 -310,336,859

Let's try dividing by 4:

310,336,859 ÷ 4 = 77,584,214.75

If the quotient is a whole number, then 4 and 77,584,214.75 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:

1 310,336,859
-1 310,336,859
Keep dividing by the next highest number until you cannot divide anymore.

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

1729891932036231,3512,5815,5977,92117,17718,06739,17955,447120,239229,709498,1331,528,7531,607,9633,486,93110,701,27144,333,837310,336,859
-1-7-29-89-193-203-623-1,351-2,581-5,597-7,921-17,177-18,067-39,179-55,447-120,239-229,709-498,133-1,528,753-1,607,963-3,486,931-10,701,271-44,333,837-310,336,859

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 310,336,859:


Ask a Question