Q: What are the factor combinations of the number 824,784,529?

 A:
Positive:   1 x 82478452917 x 4851673747 x 1754860783 x 9937163799 x 10322711411 x 5845393901 x 21142912437 x 66317
Negative: -1 x -824784529-17 x -48516737-47 x -17548607-83 x -9937163-799 x -1032271-1411 x -584539-3901 x -211429-12437 x -66317


How do I find the factor combinations of the number 824,784,529?

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 824,784,529, 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.

1 824,784,529
-1 -824,784,529

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 824,784,529.

Example:
1 x 824,784,529 = 824,784,529
and
-1 x -824,784,529 = 824,784,529
Notice both answers equal 824,784,529

With that explanation out of the way, let's continue. Next, we take the number 824,784,529 and divide it by 2:

824,784,529 ÷ 2 = 412,392,264.5

If the quotient is a whole number, then 2 and 412,392,264.5 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:

1 824,784,529
-1 -824,784,529

Now, we try dividing 824,784,529 by 3:

824,784,529 ÷ 3 = 274,928,176.3333

If the quotient is a whole number, then 3 and 274,928,176.3333 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:

1 824,784,529
-1 -824,784,529

Let's try dividing by 4:

824,784,529 ÷ 4 = 206,196,132.25

If the quotient is a whole number, then 4 and 206,196,132.25 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:

1 824,784,529
-1 824,784,529
Keep dividing by the next highest number until you cannot divide anymore.

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

11747837991,4113,90112,43766,317211,429584,5391,032,2719,937,16317,548,60748,516,737824,784,529
-1-17-47-83-799-1,411-3,901-12,437-66,317-211,429-584,539-1,032,271-9,937,163-17,548,607-48,516,737-824,784,529

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 824,784,529:


Ask a Question