Q: What are the factor combinations of the number 290,945,299?

 A:
Positive:   1 x 2909452992753 x 105683
Negative: -1 x -290945299-2753 x -105683


How do I find the factor combinations of the number 290,945,299?

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 290,945,299, 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.

1 290,945,299
-1 -290,945,299

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 290,945,299.

Example:
1 x 290,945,299 = 290,945,299
and
-1 x -290,945,299 = 290,945,299
Notice both answers equal 290,945,299

With that explanation out of the way, let's continue. Next, we take the number 290,945,299 and divide it by 2:

290,945,299 ÷ 2 = 145,472,649.5

If the quotient is a whole number, then 2 and 145,472,649.5 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:

1 290,945,299
-1 -290,945,299

Now, we try dividing 290,945,299 by 3:

290,945,299 ÷ 3 = 96,981,766.3333

If the quotient is a whole number, then 3 and 96,981,766.3333 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:

1 290,945,299
-1 -290,945,299

Let's try dividing by 4:

290,945,299 ÷ 4 = 72,736,324.75

If the quotient is a whole number, then 4 and 72,736,324.75 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:

1 290,945,299
-1 290,945,299
Keep dividing by the next highest number until you cannot divide anymore.

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

12,753105,683290,945,299
-1-2,753-105,683-290,945,299

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 290,945,299:


Ask a Question