Q: What are the factor combinations of the number 143,531,201?

 A:
Positive:   1 x 14353120111 x 1304829123 x 624048741 x 3500761101 x 1421101137 x 1047673253 x 567317451 x 318251943 x 1522071111 x 1291911507 x 952432323 x 617873151 x 455514141 x 346615617 x 2555310373 x 13837
Negative: -1 x -143531201-11 x -13048291-23 x -6240487-41 x -3500761-101 x -1421101-137 x -1047673-253 x -567317-451 x -318251-943 x -152207-1111 x -129191-1507 x -95243-2323 x -61787-3151 x -45551-4141 x -34661-5617 x -25553-10373 x -13837


How do I find the factor combinations of the number 143,531,201?

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 143,531,201, 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.

1 143,531,201
-1 -143,531,201

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 143,531,201.

Example:
1 x 143,531,201 = 143,531,201
and
-1 x -143,531,201 = 143,531,201
Notice both answers equal 143,531,201

With that explanation out of the way, let's continue. Next, we take the number 143,531,201 and divide it by 2:

143,531,201 ÷ 2 = 71,765,600.5

If the quotient is a whole number, then 2 and 71,765,600.5 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:

1 143,531,201
-1 -143,531,201

Now, we try dividing 143,531,201 by 3:

143,531,201 ÷ 3 = 47,843,733.6667

If the quotient is a whole number, then 3 and 47,843,733.6667 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:

1 143,531,201
-1 -143,531,201

Let's try dividing by 4:

143,531,201 ÷ 4 = 35,882,800.25

If the quotient is a whole number, then 4 and 35,882,800.25 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:

1 143,531,201
-1 143,531,201
Keep dividing by the next highest number until you cannot divide anymore.

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

11123411011372534519431,1111,5072,3233,1514,1415,61710,37313,83725,55334,66145,55161,78795,243129,191152,207318,251567,3171,047,6731,421,1013,500,7616,240,48713,048,291143,531,201
-1-11-23-41-101-137-253-451-943-1,111-1,507-2,323-3,151-4,141-5,617-10,373-13,837-25,553-34,661-45,551-61,787-95,243-129,191-152,207-318,251-567,317-1,047,673-1,421,101-3,500,761-6,240,487-13,048,291-143,531,201

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