Q: What are the factor combinations of the number 147,407,311?

 A:
Positive:   1 x 14740731143 x 342807759 x 249842997 x 1519663599 x 2460892537 x 581034171 x 353415723 x 25757
Negative: -1 x -147407311-43 x -3428077-59 x -2498429-97 x -1519663-599 x -246089-2537 x -58103-4171 x -35341-5723 x -25757


How do I find the factor combinations of the number 147,407,311?

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 147,407,311, 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.

1 147,407,311
-1 -147,407,311

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 147,407,311.

Example:
1 x 147,407,311 = 147,407,311
and
-1 x -147,407,311 = 147,407,311
Notice both answers equal 147,407,311

With that explanation out of the way, let's continue. Next, we take the number 147,407,311 and divide it by 2:

147,407,311 ÷ 2 = 73,703,655.5

If the quotient is a whole number, then 2 and 73,703,655.5 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:

1 147,407,311
-1 -147,407,311

Now, we try dividing 147,407,311 by 3:

147,407,311 ÷ 3 = 49,135,770.3333

If the quotient is a whole number, then 3 and 49,135,770.3333 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:

1 147,407,311
-1 -147,407,311

Let's try dividing by 4:

147,407,311 ÷ 4 = 36,851,827.75

If the quotient is a whole number, then 4 and 36,851,827.75 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:

1 147,407,311
-1 147,407,311
Keep dividing by the next highest number until you cannot divide anymore.

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

14359975992,5374,1715,72325,75735,34158,103246,0891,519,6632,498,4293,428,077147,407,311
-1-43-59-97-599-2,537-4,171-5,723-25,757-35,341-58,103-246,089-1,519,663-2,498,429-3,428,077-147,407,311

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