Q: What are the factor combinations of the number 155,245,147?

 A:
Positive:   1 x 15524514723 x 674978941 x 3786467193 x 804379853 x 181999943 x 1646294439 x 349737913 x 19619
Negative: -1 x -155245147-23 x -6749789-41 x -3786467-193 x -804379-853 x -181999-943 x -164629-4439 x -34973-7913 x -19619


How do I find the factor combinations of the number 155,245,147?

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 155,245,147, 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.

1 155,245,147
-1 -155,245,147

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 155,245,147.

Example:
1 x 155,245,147 = 155,245,147
and
-1 x -155,245,147 = 155,245,147
Notice both answers equal 155,245,147

With that explanation out of the way, let's continue. Next, we take the number 155,245,147 and divide it by 2:

155,245,147 ÷ 2 = 77,622,573.5

If the quotient is a whole number, then 2 and 77,622,573.5 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:

1 155,245,147
-1 -155,245,147

Now, we try dividing 155,245,147 by 3:

155,245,147 ÷ 3 = 51,748,382.3333

If the quotient is a whole number, then 3 and 51,748,382.3333 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:

1 155,245,147
-1 -155,245,147

Let's try dividing by 4:

155,245,147 ÷ 4 = 38,811,286.75

If the quotient is a whole number, then 4 and 38,811,286.75 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:

1 155,245,147
-1 155,245,147
Keep dividing by the next highest number until you cannot divide anymore.

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

123411938539434,4397,91319,61934,973164,629181,999804,3793,786,4676,749,789155,245,147
-1-23-41-193-853-943-4,439-7,913-19,619-34,973-164,629-181,999-804,379-3,786,467-6,749,789-155,245,147

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