Q: What are the factor combinations of the number 521,273,545?

 A:
Positive:   1 x 5212735455 x 10425470913 x 4009796565 x 8019593433 x 12038652165 x 2407735629 x 9260518521 x 28145
Negative: -1 x -521273545-5 x -104254709-13 x -40097965-65 x -8019593-433 x -1203865-2165 x -240773-5629 x -92605-18521 x -28145


How do I find the factor combinations of the number 521,273,545?

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 521,273,545, 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.

1 521,273,545
-1 -521,273,545

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 521,273,545.

Example:
1 x 521,273,545 = 521,273,545
and
-1 x -521,273,545 = 521,273,545
Notice both answers equal 521,273,545

With that explanation out of the way, let's continue. Next, we take the number 521,273,545 and divide it by 2:

521,273,545 ÷ 2 = 260,636,772.5

If the quotient is a whole number, then 2 and 260,636,772.5 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:

1 521,273,545
-1 -521,273,545

Now, we try dividing 521,273,545 by 3:

521,273,545 ÷ 3 = 173,757,848.3333

If the quotient is a whole number, then 3 and 173,757,848.3333 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:

1 521,273,545
-1 -521,273,545

Let's try dividing by 4:

521,273,545 ÷ 4 = 130,318,386.25

If the quotient is a whole number, then 4 and 130,318,386.25 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:

1 521,273,545
-1 521,273,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1513654332,1655,62918,52128,14592,605240,7731,203,8658,019,59340,097,965104,254,709521,273,545
-1-5-13-65-433-2,165-5,629-18,521-28,145-92,605-240,773-1,203,865-8,019,593-40,097,965-104,254,709-521,273,545

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 521,273,545:


Ask a Question