Q: What are the factor combinations of the number 56,615,171?

 A:
Positive:   1 x 56615171167 x 339013181 x 3127911873 x 30227
Negative: -1 x -56615171-167 x -339013-181 x -312791-1873 x -30227


How do I find the factor combinations of the number 56,615,171?

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 56,615,171, 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 56,615,171
-1 -56,615,171

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 56,615,171.

Example:
1 x 56,615,171 = 56,615,171
and
-1 x -56,615,171 = 56,615,171
Notice both answers equal 56,615,171

With that explanation out of the way, let's continue. Next, we take the number 56,615,171 and divide it by 2:

56,615,171 ÷ 2 = 28,307,585.5

If the quotient is a whole number, then 2 and 28,307,585.5 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 56,615,171
-1 -56,615,171

Now, we try dividing 56,615,171 by 3:

56,615,171 ÷ 3 = 18,871,723.6667

If the quotient is a whole number, then 3 and 18,871,723.6667 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 56,615,171
-1 -56,615,171

Let's try dividing by 4:

56,615,171 ÷ 4 = 14,153,792.75

If the quotient is a whole number, then 4 and 14,153,792.75 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 56,615,171
-1 56,615,171
Keep dividing by the next highest number until you cannot divide anymore.

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

11671811,87330,227312,791339,01356,615,171
-1-167-181-1,873-30,227-312,791-339,013-56,615,171

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 56,615,171:


Ask a Question