Q: What are the factor combinations of the number 5,006,435?

 A:
Positive:   1 x 50064355 x 10012877 x 71520535 x 143041313 x 15995457 x 109551565 x 31992191 x 2285
Negative: -1 x -5006435-5 x -1001287-7 x -715205-35 x -143041-313 x -15995-457 x -10955-1565 x -3199-2191 x -2285


How do I find the factor combinations of the number 5,006,435?

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 5,006,435, 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 5,006,435
-1 -5,006,435

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 5,006,435.

Example:
1 x 5,006,435 = 5,006,435
and
-1 x -5,006,435 = 5,006,435
Notice both answers equal 5,006,435

With that explanation out of the way, let's continue. Next, we take the number 5,006,435 and divide it by 2:

5,006,435 ÷ 2 = 2,503,217.5

If the quotient is a whole number, then 2 and 2,503,217.5 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 5,006,435
-1 -5,006,435

Now, we try dividing 5,006,435 by 3:

5,006,435 ÷ 3 = 1,668,811.6667

If the quotient is a whole number, then 3 and 1,668,811.6667 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 5,006,435
-1 -5,006,435

Let's try dividing by 4:

5,006,435 ÷ 4 = 1,251,608.75

If the quotient is a whole number, then 4 and 1,251,608.75 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 5,006,435
-1 5,006,435
Keep dividing by the next highest number until you cannot divide anymore.

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

157353134571,5652,1912,2853,19910,95515,995143,041715,2051,001,2875,006,435
-1-5-7-35-313-457-1,565-2,191-2,285-3,199-10,955-15,995-143,041-715,205-1,001,287-5,006,435

More Examples

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