Q: What are the factor combinations of the number 302,001,301?

 A:
Positive:   1 x 3020013017 x 4314304361 x 4950841127 x 2377963427 x 707263889 x 3397095569 x 542297747 x 38983
Negative: -1 x -302001301-7 x -43143043-61 x -4950841-127 x -2377963-427 x -707263-889 x -339709-5569 x -54229-7747 x -38983


How do I find the factor combinations of the number 302,001,301?

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 302,001,301, 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.

1 302,001,301
-1 -302,001,301

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 302,001,301.

Example:
1 x 302,001,301 = 302,001,301
and
-1 x -302,001,301 = 302,001,301
Notice both answers equal 302,001,301

With that explanation out of the way, let's continue. Next, we take the number 302,001,301 and divide it by 2:

302,001,301 ÷ 2 = 151,000,650.5

If the quotient is a whole number, then 2 and 151,000,650.5 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:

1 302,001,301
-1 -302,001,301

Now, we try dividing 302,001,301 by 3:

302,001,301 ÷ 3 = 100,667,100.3333

If the quotient is a whole number, then 3 and 100,667,100.3333 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:

1 302,001,301
-1 -302,001,301

Let's try dividing by 4:

302,001,301 ÷ 4 = 75,500,325.25

If the quotient is a whole number, then 4 and 75,500,325.25 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:

1 302,001,301
-1 302,001,301
Keep dividing by the next highest number until you cannot divide anymore.

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

17611274278895,5697,74738,98354,229339,709707,2632,377,9634,950,84143,143,043302,001,301
-1-7-61-127-427-889-5,569-7,747-38,983-54,229-339,709-707,263-2,377,963-4,950,841-43,143,043-302,001,301

More Examples

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