Q: What are the factor combinations of the number 143,305,513?

 A:
Positive:   1 x 14330551313 x 1102350159 x 2428907257 x 557609727 x 197119767 x 1868393341 x 428939451 x 15163
Negative: -1 x -143305513-13 x -11023501-59 x -2428907-257 x -557609-727 x -197119-767 x -186839-3341 x -42893-9451 x -15163


How do I find the factor combinations of the number 143,305,513?

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 143,305,513, 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.

1 143,305,513
-1 -143,305,513

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 143,305,513.

Example:
1 x 143,305,513 = 143,305,513
and
-1 x -143,305,513 = 143,305,513
Notice both answers equal 143,305,513

With that explanation out of the way, let's continue. Next, we take the number 143,305,513 and divide it by 2:

143,305,513 ÷ 2 = 71,652,756.5

If the quotient is a whole number, then 2 and 71,652,756.5 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:

1 143,305,513
-1 -143,305,513

Now, we try dividing 143,305,513 by 3:

143,305,513 ÷ 3 = 47,768,504.3333

If the quotient is a whole number, then 3 and 47,768,504.3333 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:

1 143,305,513
-1 -143,305,513

Let's try dividing by 4:

143,305,513 ÷ 4 = 35,826,378.25

If the quotient is a whole number, then 4 and 35,826,378.25 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:

1 143,305,513
-1 143,305,513
Keep dividing by the next highest number until you cannot divide anymore.

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

113592577277673,3419,45115,16342,893186,839197,119557,6092,428,90711,023,501143,305,513
-1-13-59-257-727-767-3,341-9,451-15,163-42,893-186,839-197,119-557,609-2,428,907-11,023,501-143,305,513

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