Q: What are the factor combinations of the number 56,002,675?

 A:
Positive:   1 x 560026755 x 1120053517 x 329427525 x 224010785 x 658855425 x 131771
Negative: -1 x -56002675-5 x -11200535-17 x -3294275-25 x -2240107-85 x -658855-425 x -131771


How do I find the factor combinations of the number 56,002,675?

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 56,002,675, 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 56,002,675
-1 -56,002,675

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 56,002,675.

Example:
1 x 56,002,675 = 56,002,675
and
-1 x -56,002,675 = 56,002,675
Notice both answers equal 56,002,675

With that explanation out of the way, let's continue. Next, we take the number 56,002,675 and divide it by 2:

56,002,675 ÷ 2 = 28,001,337.5

If the quotient is a whole number, then 2 and 28,001,337.5 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 56,002,675
-1 -56,002,675

Now, we try dividing 56,002,675 by 3:

56,002,675 ÷ 3 = 18,667,558.3333

If the quotient is a whole number, then 3 and 18,667,558.3333 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 56,002,675
-1 -56,002,675

Let's try dividing by 4:

56,002,675 ÷ 4 = 14,000,668.75

If the quotient is a whole number, then 4 and 14,000,668.75 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 56,002,675
-1 56,002,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15172585425131,771658,8552,240,1073,294,27511,200,53556,002,675
-1-5-17-25-85-425-131,771-658,855-2,240,107-3,294,275-11,200,535-56,002,675

More Examples

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