Q: What are the factor combinations of the number 6,013,937?

 A:
Positive:   1 x 601393717 x 35376119 x 31652343 x 139859323 x 18619433 x 13889731 x 8227817 x 7361
Negative: -1 x -6013937-17 x -353761-19 x -316523-43 x -139859-323 x -18619-433 x -13889-731 x -8227-817 x -7361


How do I find the factor combinations of the number 6,013,937?

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 6,013,937, 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 6,013,937
-1 -6,013,937

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 6,013,937.

Example:
1 x 6,013,937 = 6,013,937
and
-1 x -6,013,937 = 6,013,937
Notice both answers equal 6,013,937

With that explanation out of the way, let's continue. Next, we take the number 6,013,937 and divide it by 2:

6,013,937 ÷ 2 = 3,006,968.5

If the quotient is a whole number, then 2 and 3,006,968.5 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 6,013,937
-1 -6,013,937

Now, we try dividing 6,013,937 by 3:

6,013,937 ÷ 3 = 2,004,645.6667

If the quotient is a whole number, then 3 and 2,004,645.6667 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 6,013,937
-1 -6,013,937

Let's try dividing by 4:

6,013,937 ÷ 4 = 1,503,484.25

If the quotient is a whole number, then 4 and 1,503,484.25 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 6,013,937
-1 6,013,937
Keep dividing by the next highest number until you cannot divide anymore.

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

11719433234337318177,3618,22713,88918,619139,859316,523353,7616,013,937
-1-17-19-43-323-433-731-817-7,361-8,227-13,889-18,619-139,859-316,523-353,761-6,013,937

More Examples

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