Q: What are the factor combinations of the number 522,420,215?

 A:
Positive:   1 x 5224202155 x 10448404331 x 16852265127 x 4113545155 x 3370453635 x 8227093937 x 13269519685 x 26539
Negative: -1 x -522420215-5 x -104484043-31 x -16852265-127 x -4113545-155 x -3370453-635 x -822709-3937 x -132695-19685 x -26539


How do I find the factor combinations of the number 522,420,215?

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 522,420,215, 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.

1 522,420,215
-1 -522,420,215

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 522,420,215.

Example:
1 x 522,420,215 = 522,420,215
and
-1 x -522,420,215 = 522,420,215
Notice both answers equal 522,420,215

With that explanation out of the way, let's continue. Next, we take the number 522,420,215 and divide it by 2:

522,420,215 ÷ 2 = 261,210,107.5

If the quotient is a whole number, then 2 and 261,210,107.5 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:

1 522,420,215
-1 -522,420,215

Now, we try dividing 522,420,215 by 3:

522,420,215 ÷ 3 = 174,140,071.6667

If the quotient is a whole number, then 3 and 174,140,071.6667 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:

1 522,420,215
-1 -522,420,215

Let's try dividing by 4:

522,420,215 ÷ 4 = 130,605,053.75

If the quotient is a whole number, then 4 and 130,605,053.75 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:

1 522,420,215
-1 522,420,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15311271556353,93719,68526,539132,695822,7093,370,4534,113,54516,852,265104,484,043522,420,215
-1-5-31-127-155-635-3,937-19,685-26,539-132,695-822,709-3,370,453-4,113,545-16,852,265-104,484,043-522,420,215

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 522,420,215:


Ask a Question