Q: What are the factor combinations of the number 273,571,715?

 A:
Positive:   1 x 2735717155 x 54714343107 x 2556745157 x 1742495535 x 511349785 x 3484993257 x 8399516285 x 16799
Negative: -1 x -273571715-5 x -54714343-107 x -2556745-157 x -1742495-535 x -511349-785 x -348499-3257 x -83995-16285 x -16799


How do I find the factor combinations of the number 273,571,715?

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 273,571,715, 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.

1 273,571,715
-1 -273,571,715

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 273,571,715.

Example:
1 x 273,571,715 = 273,571,715
and
-1 x -273,571,715 = 273,571,715
Notice both answers equal 273,571,715

With that explanation out of the way, let's continue. Next, we take the number 273,571,715 and divide it by 2:

273,571,715 ÷ 2 = 136,785,857.5

If the quotient is a whole number, then 2 and 136,785,857.5 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:

1 273,571,715
-1 -273,571,715

Now, we try dividing 273,571,715 by 3:

273,571,715 ÷ 3 = 91,190,571.6667

If the quotient is a whole number, then 3 and 91,190,571.6667 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:

1 273,571,715
-1 -273,571,715

Let's try dividing by 4:

273,571,715 ÷ 4 = 68,392,928.75

If the quotient is a whole number, then 4 and 68,392,928.75 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:

1 273,571,715
-1 273,571,715
Keep dividing by the next highest number until you cannot divide anymore.

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

151071575357853,25716,28516,79983,995348,499511,3491,742,4952,556,74554,714,343273,571,715
-1-5-107-157-535-785-3,257-16,285-16,799-83,995-348,499-511,349-1,742,495-2,556,745-54,714,343-273,571,715

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 273,571,715:


Ask a Question