Q: What are the factor combinations of the number 30,390,997?

 A:
Positive:   1 x 303909977 x 434157113 x 233776991 x 333967337 x 90181991 x 306672359 x 128834381 x 6937
Negative: -1 x -30390997-7 x -4341571-13 x -2337769-91 x -333967-337 x -90181-991 x -30667-2359 x -12883-4381 x -6937


How do I find the factor combinations of the number 30,390,997?

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 30,390,997, 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 30,390,997
-1 -30,390,997

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 30,390,997.

Example:
1 x 30,390,997 = 30,390,997
and
-1 x -30,390,997 = 30,390,997
Notice both answers equal 30,390,997

With that explanation out of the way, let's continue. Next, we take the number 30,390,997 and divide it by 2:

30,390,997 ÷ 2 = 15,195,498.5

If the quotient is a whole number, then 2 and 15,195,498.5 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 30,390,997
-1 -30,390,997

Now, we try dividing 30,390,997 by 3:

30,390,997 ÷ 3 = 10,130,332.3333

If the quotient is a whole number, then 3 and 10,130,332.3333 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 30,390,997
-1 -30,390,997

Let's try dividing by 4:

30,390,997 ÷ 4 = 7,597,749.25

If the quotient is a whole number, then 4 and 7,597,749.25 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 30,390,997
-1 30,390,997
Keep dividing by the next highest number until you cannot divide anymore.

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

1713913379912,3594,3816,93712,88330,66790,181333,9672,337,7694,341,57130,390,997
-1-7-13-91-337-991-2,359-4,381-6,937-12,883-30,667-90,181-333,967-2,337,769-4,341,571-30,390,997

More Examples

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