Q: What are the factor combinations of the number 588,155,441?

 A:
Positive:   1 x 58815544137 x 15896093103 x 5710247157 x 3746213983 x 5983273811 x 1543315809 x 10124916171 x 36371
Negative: -1 x -588155441-37 x -15896093-103 x -5710247-157 x -3746213-983 x -598327-3811 x -154331-5809 x -101249-16171 x -36371


How do I find the factor combinations of the number 588,155,441?

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 588,155,441, 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.

1 588,155,441
-1 -588,155,441

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 588,155,441.

Example:
1 x 588,155,441 = 588,155,441
and
-1 x -588,155,441 = 588,155,441
Notice both answers equal 588,155,441

With that explanation out of the way, let's continue. Next, we take the number 588,155,441 and divide it by 2:

588,155,441 ÷ 2 = 294,077,720.5

If the quotient is a whole number, then 2 and 294,077,720.5 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:

1 588,155,441
-1 -588,155,441

Now, we try dividing 588,155,441 by 3:

588,155,441 ÷ 3 = 196,051,813.6667

If the quotient is a whole number, then 3 and 196,051,813.6667 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:

1 588,155,441
-1 -588,155,441

Let's try dividing by 4:

588,155,441 ÷ 4 = 147,038,860.25

If the quotient is a whole number, then 4 and 147,038,860.25 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:

1 588,155,441
-1 588,155,441
Keep dividing by the next highest number until you cannot divide anymore.

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

1371031579833,8115,80916,17136,371101,249154,331598,3273,746,2135,710,24715,896,093588,155,441
-1-37-103-157-983-3,811-5,809-16,171-36,371-101,249-154,331-598,327-3,746,213-5,710,247-15,896,093-588,155,441

More Examples

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