Q: What are the factor combinations of the number 31,302,035?

 A:
Positive:   1 x 313020355 x 626040773 x 428795191 x 163885365 x 85759449 x 69715955 x 327772245 x 13943
Negative: -1 x -31302035-5 x -6260407-73 x -428795-191 x -163885-365 x -85759-449 x -69715-955 x -32777-2245 x -13943


How do I find the factor combinations of the number 31,302,035?

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 31,302,035, 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 31,302,035
-1 -31,302,035

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 31,302,035.

Example:
1 x 31,302,035 = 31,302,035
and
-1 x -31,302,035 = 31,302,035
Notice both answers equal 31,302,035

With that explanation out of the way, let's continue. Next, we take the number 31,302,035 and divide it by 2:

31,302,035 ÷ 2 = 15,651,017.5

If the quotient is a whole number, then 2 and 15,651,017.5 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 31,302,035
-1 -31,302,035

Now, we try dividing 31,302,035 by 3:

31,302,035 ÷ 3 = 10,434,011.6667

If the quotient is a whole number, then 3 and 10,434,011.6667 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 31,302,035
-1 -31,302,035

Let's try dividing by 4:

31,302,035 ÷ 4 = 7,825,508.75

If the quotient is a whole number, then 4 and 7,825,508.75 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 31,302,035
-1 31,302,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15731913654499552,24513,94332,77769,71585,759163,885428,7956,260,40731,302,035
-1-5-73-191-365-449-955-2,245-13,943-32,777-69,715-85,759-163,885-428,795-6,260,407-31,302,035

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 31,302,035:


Ask a Question