Q: What are the factor combinations of the number 155,030,201?

 A:
Positive:   1 x 15503020129 x 5345869359 x 43183910411 x 14891
Negative: -1 x -155030201-29 x -5345869-359 x -431839-10411 x -14891


How do I find the factor combinations of the number 155,030,201?

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 155,030,201, 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.

1 155,030,201
-1 -155,030,201

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 155,030,201.

Example:
1 x 155,030,201 = 155,030,201
and
-1 x -155,030,201 = 155,030,201
Notice both answers equal 155,030,201

With that explanation out of the way, let's continue. Next, we take the number 155,030,201 and divide it by 2:

155,030,201 ÷ 2 = 77,515,100.5

If the quotient is a whole number, then 2 and 77,515,100.5 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:

1 155,030,201
-1 -155,030,201

Now, we try dividing 155,030,201 by 3:

155,030,201 ÷ 3 = 51,676,733.6667

If the quotient is a whole number, then 3 and 51,676,733.6667 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:

1 155,030,201
-1 -155,030,201

Let's try dividing by 4:

155,030,201 ÷ 4 = 38,757,550.25

If the quotient is a whole number, then 4 and 38,757,550.25 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:

1 155,030,201
-1 155,030,201
Keep dividing by the next highest number until you cannot divide anymore.

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

12935910,41114,891431,8395,345,869155,030,201
-1-29-359-10,411-14,891-431,839-5,345,869-155,030,201

More Examples

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