Q: What are the factor combinations of the number 5,035,135?

 A:
Positive:   1 x 50351355 x 10070277 x 71930535 x 143861263 x 19145547 x 92051315 x 38291841 x 2735
Negative: -1 x -5035135-5 x -1007027-7 x -719305-35 x -143861-263 x -19145-547 x -9205-1315 x -3829-1841 x -2735


How do I find the factor combinations of the number 5,035,135?

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 5,035,135, 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 5,035,135
-1 -5,035,135

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 5,035,135.

Example:
1 x 5,035,135 = 5,035,135
and
-1 x -5,035,135 = 5,035,135
Notice both answers equal 5,035,135

With that explanation out of the way, let's continue. Next, we take the number 5,035,135 and divide it by 2:

5,035,135 ÷ 2 = 2,517,567.5

If the quotient is a whole number, then 2 and 2,517,567.5 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 5,035,135
-1 -5,035,135

Now, we try dividing 5,035,135 by 3:

5,035,135 ÷ 3 = 1,678,378.3333

If the quotient is a whole number, then 3 and 1,678,378.3333 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 5,035,135
-1 -5,035,135

Let's try dividing by 4:

5,035,135 ÷ 4 = 1,258,783.75

If the quotient is a whole number, then 4 and 1,258,783.75 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 5,035,135
-1 5,035,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157352635471,3151,8412,7353,8299,20519,145143,861719,3051,007,0275,035,135
-1-5-7-35-263-547-1,315-1,841-2,735-3,829-9,205-19,145-143,861-719,305-1,007,027-5,035,135

More Examples

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