Q: What are the factor combinations of the number 155,724,155?

 A:
Positive:   1 x 1557241555 x 3114483161 x 2552855103 x 1511885305 x 510571515 x 3023774957 x 314156283 x 24785
Negative: -1 x -155724155-5 x -31144831-61 x -2552855-103 x -1511885-305 x -510571-515 x -302377-4957 x -31415-6283 x -24785


How do I find the factor combinations of the number 155,724,155?

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 155,724,155, 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.

1 155,724,155
-1 -155,724,155

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 155,724,155.

Example:
1 x 155,724,155 = 155,724,155
and
-1 x -155,724,155 = 155,724,155
Notice both answers equal 155,724,155

With that explanation out of the way, let's continue. Next, we take the number 155,724,155 and divide it by 2:

155,724,155 ÷ 2 = 77,862,077.5

If the quotient is a whole number, then 2 and 77,862,077.5 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:

1 155,724,155
-1 -155,724,155

Now, we try dividing 155,724,155 by 3:

155,724,155 ÷ 3 = 51,908,051.6667

If the quotient is a whole number, then 3 and 51,908,051.6667 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:

1 155,724,155
-1 -155,724,155

Let's try dividing by 4:

155,724,155 ÷ 4 = 38,931,038.75

If the quotient is a whole number, then 4 and 38,931,038.75 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:

1 155,724,155
-1 155,724,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15611033055154,9576,28324,78531,415302,377510,5711,511,8852,552,85531,144,831155,724,155
-1-5-61-103-305-515-4,957-6,283-24,785-31,415-302,377-510,571-1,511,885-2,552,855-31,144,831-155,724,155

More Examples

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