Q: What are the factor combinations of the number 5,236,735?

 A:
Positive:   1 x 52367355 x 10473477 x 74810535 x 149621157 x 33355785 x 6671953 x 54951099 x 4765
Negative: -1 x -5236735-5 x -1047347-7 x -748105-35 x -149621-157 x -33355-785 x -6671-953 x -5495-1099 x -4765


How do I find the factor combinations of the number 5,236,735?

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 5,236,735, 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 5,236,735
-1 -5,236,735

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 5,236,735.

Example:
1 x 5,236,735 = 5,236,735
and
-1 x -5,236,735 = 5,236,735
Notice both answers equal 5,236,735

With that explanation out of the way, let's continue. Next, we take the number 5,236,735 and divide it by 2:

5,236,735 ÷ 2 = 2,618,367.5

If the quotient is a whole number, then 2 and 2,618,367.5 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 5,236,735
-1 -5,236,735

Now, we try dividing 5,236,735 by 3:

5,236,735 ÷ 3 = 1,745,578.3333

If the quotient is a whole number, then 3 and 1,745,578.3333 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 5,236,735
-1 -5,236,735

Let's try dividing by 4:

5,236,735 ÷ 4 = 1,309,183.75

If the quotient is a whole number, then 4 and 1,309,183.75 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 5,236,735
-1 5,236,735
Keep dividing by the next highest number until you cannot divide anymore.

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

157351577859531,0994,7655,4956,67133,355149,621748,1051,047,3475,236,735
-1-5-7-35-157-785-953-1,099-4,765-5,495-6,671-33,355-149,621-748,105-1,047,347-5,236,735

More Examples

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