Q: What are the factor combinations of the number 307,405,151?

 A:
Positive:   1 x 30740515143 x 7148957127 x 2420513181 x 1698371311 x 9884415461 x 562917783 x 3949713373 x 22987
Negative: -1 x -307405151-43 x -7148957-127 x -2420513-181 x -1698371-311 x -988441-5461 x -56291-7783 x -39497-13373 x -22987


How do I find the factor combinations of the number 307,405,151?

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 307,405,151, 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.

1 307,405,151
-1 -307,405,151

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 307,405,151.

Example:
1 x 307,405,151 = 307,405,151
and
-1 x -307,405,151 = 307,405,151
Notice both answers equal 307,405,151

With that explanation out of the way, let's continue. Next, we take the number 307,405,151 and divide it by 2:

307,405,151 ÷ 2 = 153,702,575.5

If the quotient is a whole number, then 2 and 153,702,575.5 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:

1 307,405,151
-1 -307,405,151

Now, we try dividing 307,405,151 by 3:

307,405,151 ÷ 3 = 102,468,383.6667

If the quotient is a whole number, then 3 and 102,468,383.6667 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:

1 307,405,151
-1 -307,405,151

Let's try dividing by 4:

307,405,151 ÷ 4 = 76,851,287.75

If the quotient is a whole number, then 4 and 76,851,287.75 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:

1 307,405,151
-1 307,405,151
Keep dividing by the next highest number until you cannot divide anymore.

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

1431271813115,4617,78313,37322,98739,49756,291988,4411,698,3712,420,5137,148,957307,405,151
-1-43-127-181-311-5,461-7,783-13,373-22,987-39,497-56,291-988,441-1,698,371-2,420,513-7,148,957-307,405,151

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