Q: What are the factor combinations of the number 155,980,823?

 A:
Positive:   1 x 15598082319 x 820951743 x 362746171 x 2196913817 x 1909191349 x 1156272689 x 580073053 x 51091
Negative: -1 x -155980823-19 x -8209517-43 x -3627461-71 x -2196913-817 x -190919-1349 x -115627-2689 x -58007-3053 x -51091


How do I find the factor combinations of the number 155,980,823?

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 155,980,823, 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.

1 155,980,823
-1 -155,980,823

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 155,980,823.

Example:
1 x 155,980,823 = 155,980,823
and
-1 x -155,980,823 = 155,980,823
Notice both answers equal 155,980,823

With that explanation out of the way, let's continue. Next, we take the number 155,980,823 and divide it by 2:

155,980,823 ÷ 2 = 77,990,411.5

If the quotient is a whole number, then 2 and 77,990,411.5 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:

1 155,980,823
-1 -155,980,823

Now, we try dividing 155,980,823 by 3:

155,980,823 ÷ 3 = 51,993,607.6667

If the quotient is a whole number, then 3 and 51,993,607.6667 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:

1 155,980,823
-1 -155,980,823

Let's try dividing by 4:

155,980,823 ÷ 4 = 38,995,205.75

If the quotient is a whole number, then 4 and 38,995,205.75 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:

1 155,980,823
-1 155,980,823
Keep dividing by the next highest number until you cannot divide anymore.

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

11943718171,3492,6893,05351,09158,007115,627190,9192,196,9133,627,4618,209,517155,980,823
-1-19-43-71-817-1,349-2,689-3,053-51,091-58,007-115,627-190,919-2,196,913-3,627,461-8,209,517-155,980,823

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