Q: What are the factor combinations of the number 340,220,303?

 A:
Positive:   1 x 34022030317 x 2001295953 x 6419251107 x 3179629901 x 3776031819 x 1870373529 x 964075671 x 59993
Negative: -1 x -340220303-17 x -20012959-53 x -6419251-107 x -3179629-901 x -377603-1819 x -187037-3529 x -96407-5671 x -59993


How do I find the factor combinations of the number 340,220,303?

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 340,220,303, 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.

1 340,220,303
-1 -340,220,303

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 340,220,303.

Example:
1 x 340,220,303 = 340,220,303
and
-1 x -340,220,303 = 340,220,303
Notice both answers equal 340,220,303

With that explanation out of the way, let's continue. Next, we take the number 340,220,303 and divide it by 2:

340,220,303 ÷ 2 = 170,110,151.5

If the quotient is a whole number, then 2 and 170,110,151.5 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:

1 340,220,303
-1 -340,220,303

Now, we try dividing 340,220,303 by 3:

340,220,303 ÷ 3 = 113,406,767.6667

If the quotient is a whole number, then 3 and 113,406,767.6667 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:

1 340,220,303
-1 -340,220,303

Let's try dividing by 4:

340,220,303 ÷ 4 = 85,055,075.75

If the quotient is a whole number, then 4 and 85,055,075.75 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:

1 340,220,303
-1 340,220,303
Keep dividing by the next highest number until you cannot divide anymore.

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

117531079011,8193,5295,67159,99396,407187,037377,6033,179,6296,419,25120,012,959340,220,303
-1-17-53-107-901-1,819-3,529-5,671-59,993-96,407-187,037-377,603-3,179,629-6,419,251-20,012,959-340,220,303

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