Q: What are the factor combinations of the number 515,721,415?

 A:
Positive:   1 x 5157214155 x 10314428311 x 4688376555 x 9376753
Negative: -1 x -515721415-5 x -103144283-11 x -46883765-55 x -9376753


How do I find the factor combinations of the number 515,721,415?

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 515,721,415, 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.

1 515,721,415
-1 -515,721,415

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 515,721,415.

Example:
1 x 515,721,415 = 515,721,415
and
-1 x -515,721,415 = 515,721,415
Notice both answers equal 515,721,415

With that explanation out of the way, let's continue. Next, we take the number 515,721,415 and divide it by 2:

515,721,415 ÷ 2 = 257,860,707.5

If the quotient is a whole number, then 2 and 257,860,707.5 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:

1 515,721,415
-1 -515,721,415

Now, we try dividing 515,721,415 by 3:

515,721,415 ÷ 3 = 171,907,138.3333

If the quotient is a whole number, then 3 and 171,907,138.3333 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:

1 515,721,415
-1 -515,721,415

Let's try dividing by 4:

515,721,415 ÷ 4 = 128,930,353.75

If the quotient is a whole number, then 4 and 128,930,353.75 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:

1 515,721,415
-1 515,721,415
Keep dividing by the next highest number until you cannot divide anymore.

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

1511559,376,75346,883,765103,144,283515,721,415
-1-5-11-55-9,376,753-46,883,765-103,144,283-515,721,415

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 515,721,415:


Ask a Question