Q: What are the factor combinations of the number 143,512,603?

 A:
Positive:   1 x 14351260313 x 1103943137 x 387871959 x 2432417169 x 849187389 x 368927481 x 298363767 x 1871092183 x 657415057 x 283796253 x 229519971 x 14393
Negative: -1 x -143512603-13 x -11039431-37 x -3878719-59 x -2432417-169 x -849187-389 x -368927-481 x -298363-767 x -187109-2183 x -65741-5057 x -28379-6253 x -22951-9971 x -14393


How do I find the factor combinations of the number 143,512,603?

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 143,512,603, 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.

1 143,512,603
-1 -143,512,603

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 143,512,603.

Example:
1 x 143,512,603 = 143,512,603
and
-1 x -143,512,603 = 143,512,603
Notice both answers equal 143,512,603

With that explanation out of the way, let's continue. Next, we take the number 143,512,603 and divide it by 2:

143,512,603 ÷ 2 = 71,756,301.5

If the quotient is a whole number, then 2 and 71,756,301.5 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:

1 143,512,603
-1 -143,512,603

Now, we try dividing 143,512,603 by 3:

143,512,603 ÷ 3 = 47,837,534.3333

If the quotient is a whole number, then 3 and 47,837,534.3333 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:

1 143,512,603
-1 -143,512,603

Let's try dividing by 4:

143,512,603 ÷ 4 = 35,878,150.75

If the quotient is a whole number, then 4 and 35,878,150.75 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:

1 143,512,603
-1 143,512,603
Keep dividing by the next highest number until you cannot divide anymore.

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

11337591693894817672,1835,0576,2539,97114,39322,95128,37965,741187,109298,363368,927849,1872,432,4173,878,71911,039,431143,512,603
-1-13-37-59-169-389-481-767-2,183-5,057-6,253-9,971-14,393-22,951-28,379-65,741-187,109-298,363-368,927-849,187-2,432,417-3,878,719-11,039,431-143,512,603

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