Q: What are the factor combinations of the number 620,142,665?

 A:
Positive:   1 x 6201426655 x 12402853353 x 1170080573 x 8495105265 x 2340161365 x 16990213869 x 16028519345 x 32057
Negative: -1 x -620142665-5 x -124028533-53 x -11700805-73 x -8495105-265 x -2340161-365 x -1699021-3869 x -160285-19345 x -32057


How do I find the factor combinations of the number 620,142,665?

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 620,142,665, 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.

1 620,142,665
-1 -620,142,665

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 620,142,665.

Example:
1 x 620,142,665 = 620,142,665
and
-1 x -620,142,665 = 620,142,665
Notice both answers equal 620,142,665

With that explanation out of the way, let's continue. Next, we take the number 620,142,665 and divide it by 2:

620,142,665 ÷ 2 = 310,071,332.5

If the quotient is a whole number, then 2 and 310,071,332.5 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:

1 620,142,665
-1 -620,142,665

Now, we try dividing 620,142,665 by 3:

620,142,665 ÷ 3 = 206,714,221.6667

If the quotient is a whole number, then 3 and 206,714,221.6667 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:

1 620,142,665
-1 -620,142,665

Let's try dividing by 4:

620,142,665 ÷ 4 = 155,035,666.25

If the quotient is a whole number, then 4 and 155,035,666.25 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:

1 620,142,665
-1 620,142,665
Keep dividing by the next highest number until you cannot divide anymore.

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

1553732653653,86919,34532,057160,2851,699,0212,340,1618,495,10511,700,805124,028,533620,142,665
-1-5-53-73-265-365-3,869-19,345-32,057-160,285-1,699,021-2,340,161-8,495,105-11,700,805-124,028,533-620,142,665

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 620,142,665:


Ask a Question