Q: What are the factor combinations of the number 588,601,615?

 A:
Positive:   1 x 5886016155 x 1177203237 x 8408594535 x 16817189431 x 13656652155 x 2731333017 x 19509515085 x 39019
Negative: -1 x -588601615-5 x -117720323-7 x -84085945-35 x -16817189-431 x -1365665-2155 x -273133-3017 x -195095-15085 x -39019


How do I find the factor combinations of the number 588,601,615?

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 588,601,615, 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.

1 588,601,615
-1 -588,601,615

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 588,601,615.

Example:
1 x 588,601,615 = 588,601,615
and
-1 x -588,601,615 = 588,601,615
Notice both answers equal 588,601,615

With that explanation out of the way, let's continue. Next, we take the number 588,601,615 and divide it by 2:

588,601,615 ÷ 2 = 294,300,807.5

If the quotient is a whole number, then 2 and 294,300,807.5 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:

1 588,601,615
-1 -588,601,615

Now, we try dividing 588,601,615 by 3:

588,601,615 ÷ 3 = 196,200,538.3333

If the quotient is a whole number, then 3 and 196,200,538.3333 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:

1 588,601,615
-1 -588,601,615

Let's try dividing by 4:

588,601,615 ÷ 4 = 147,150,403.75

If the quotient is a whole number, then 4 and 147,150,403.75 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:

1 588,601,615
-1 588,601,615
Keep dividing by the next highest number until you cannot divide anymore.

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

157354312,1553,01715,08539,019195,095273,1331,365,66516,817,18984,085,945117,720,323588,601,615
-1-5-7-35-431-2,155-3,017-15,085-39,019-195,095-273,133-1,365,665-16,817,189-84,085,945-117,720,323-588,601,615

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 588,601,615:


Ask a Question