Q: What are the factor combinations of the number 525,316,231?

 A:
Positive:   1 x 52531623111 x 4775602141 x 1281259153 x 9911627451 x 1164781583 x 9010572173 x 24174721977 x 23903
Negative: -1 x -525316231-11 x -47756021-41 x -12812591-53 x -9911627-451 x -1164781-583 x -901057-2173 x -241747-21977 x -23903


How do I find the factor combinations of the number 525,316,231?

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 525,316,231, 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.

1 525,316,231
-1 -525,316,231

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 525,316,231.

Example:
1 x 525,316,231 = 525,316,231
and
-1 x -525,316,231 = 525,316,231
Notice both answers equal 525,316,231

With that explanation out of the way, let's continue. Next, we take the number 525,316,231 and divide it by 2:

525,316,231 ÷ 2 = 262,658,115.5

If the quotient is a whole number, then 2 and 262,658,115.5 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:

1 525,316,231
-1 -525,316,231

Now, we try dividing 525,316,231 by 3:

525,316,231 ÷ 3 = 175,105,410.3333

If the quotient is a whole number, then 3 and 175,105,410.3333 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:

1 525,316,231
-1 -525,316,231

Let's try dividing by 4:

525,316,231 ÷ 4 = 131,329,057.75

If the quotient is a whole number, then 4 and 131,329,057.75 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:

1 525,316,231
-1 525,316,231
Keep dividing by the next highest number until you cannot divide anymore.

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

11141534515832,17321,97723,903241,747901,0571,164,7819,911,62712,812,59147,756,021525,316,231
-1-11-41-53-451-583-2,173-21,977-23,903-241,747-901,057-1,164,781-9,911,627-12,812,591-47,756,021-525,316,231

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 525,316,231:


Ask a Question