Q: What are the factor combinations of the number 307,623,337?

 A:
Positive:   1 x 3076233377 x 43946191127 x 2422231293 x 1049909889 x 3460331181 x 2604772051 x 1499878267 x 37211
Negative: -1 x -307623337-7 x -43946191-127 x -2422231-293 x -1049909-889 x -346033-1181 x -260477-2051 x -149987-8267 x -37211


How do I find the factor combinations of the number 307,623,337?

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 307,623,337, 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.

1 307,623,337
-1 -307,623,337

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 307,623,337.

Example:
1 x 307,623,337 = 307,623,337
and
-1 x -307,623,337 = 307,623,337
Notice both answers equal 307,623,337

With that explanation out of the way, let's continue. Next, we take the number 307,623,337 and divide it by 2:

307,623,337 ÷ 2 = 153,811,668.5

If the quotient is a whole number, then 2 and 153,811,668.5 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:

1 307,623,337
-1 -307,623,337

Now, we try dividing 307,623,337 by 3:

307,623,337 ÷ 3 = 102,541,112.3333

If the quotient is a whole number, then 3 and 102,541,112.3333 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:

1 307,623,337
-1 -307,623,337

Let's try dividing by 4:

307,623,337 ÷ 4 = 76,905,834.25

If the quotient is a whole number, then 4 and 76,905,834.25 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:

1 307,623,337
-1 307,623,337
Keep dividing by the next highest number until you cannot divide anymore.

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

171272938891,1812,0518,26737,211149,987260,477346,0331,049,9092,422,23143,946,191307,623,337
-1-7-127-293-889-1,181-2,051-8,267-37,211-149,987-260,477-346,033-1,049,909-2,422,231-43,946,191-307,623,337

More Examples

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