Q: What are the factor combinations of the number 513,683,305?

 A:
Positive:   1 x 5136833055 x 10273666117 x 3021666567 x 766691585 x 6043333335 x 15333831139 x 4509955695 x 90199
Negative: -1 x -513683305-5 x -102736661-17 x -30216665-67 x -7666915-85 x -6043333-335 x -1533383-1139 x -450995-5695 x -90199


How do I find the factor combinations of the number 513,683,305?

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 513,683,305, 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.

1 513,683,305
-1 -513,683,305

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 513,683,305.

Example:
1 x 513,683,305 = 513,683,305
and
-1 x -513,683,305 = 513,683,305
Notice both answers equal 513,683,305

With that explanation out of the way, let's continue. Next, we take the number 513,683,305 and divide it by 2:

513,683,305 ÷ 2 = 256,841,652.5

If the quotient is a whole number, then 2 and 256,841,652.5 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:

1 513,683,305
-1 -513,683,305

Now, we try dividing 513,683,305 by 3:

513,683,305 ÷ 3 = 171,227,768.3333

If the quotient is a whole number, then 3 and 171,227,768.3333 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:

1 513,683,305
-1 -513,683,305

Let's try dividing by 4:

513,683,305 ÷ 4 = 128,420,826.25

If the quotient is a whole number, then 4 and 128,420,826.25 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:

1 513,683,305
-1 513,683,305
Keep dividing by the next highest number until you cannot divide anymore.

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

151767853351,1395,69590,199450,9951,533,3836,043,3337,666,91530,216,665102,736,661513,683,305
-1-5-17-67-85-335-1,139-5,695-90,199-450,995-1,533,383-6,043,333-7,666,915-30,216,665-102,736,661-513,683,305

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 513,683,305:


Ask a Question