Q: What are the factor combinations of the number 307,485,145?

 A:
Positive:   1 x 3074851455 x 6149702911 x 2795319555 x 5590639823 x 3736154115 x 747236793 x 452659053 x 33965
Negative: -1 x -307485145-5 x -61497029-11 x -27953195-55 x -5590639-823 x -373615-4115 x -74723-6793 x -45265-9053 x -33965


How do I find the factor combinations of the number 307,485,145?

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 307,485,145, 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.

1 307,485,145
-1 -307,485,145

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 307,485,145.

Example:
1 x 307,485,145 = 307,485,145
and
-1 x -307,485,145 = 307,485,145
Notice both answers equal 307,485,145

With that explanation out of the way, let's continue. Next, we take the number 307,485,145 and divide it by 2:

307,485,145 ÷ 2 = 153,742,572.5

If the quotient is a whole number, then 2 and 153,742,572.5 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:

1 307,485,145
-1 -307,485,145

Now, we try dividing 307,485,145 by 3:

307,485,145 ÷ 3 = 102,495,048.3333

If the quotient is a whole number, then 3 and 102,495,048.3333 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:

1 307,485,145
-1 -307,485,145

Let's try dividing by 4:

307,485,145 ÷ 4 = 76,871,286.25

If the quotient is a whole number, then 4 and 76,871,286.25 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:

1 307,485,145
-1 307,485,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1511558234,1156,7939,05333,96545,26574,723373,6155,590,63927,953,19561,497,029307,485,145
-1-5-11-55-823-4,115-6,793-9,053-33,965-45,265-74,723-373,615-5,590,639-27,953,195-61,497,029-307,485,145

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