Q: What are the factor combinations of the number 143,145,233?

 A:
Positive:   1 x 1431452337 x 2044931911 x 1301320377 x 1859029587 x 2438593167 x 451994109 x 348376457 x 22169
Negative: -1 x -143145233-7 x -20449319-11 x -13013203-77 x -1859029-587 x -243859-3167 x -45199-4109 x -34837-6457 x -22169


How do I find the factor combinations of the number 143,145,233?

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 143,145,233, 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.

1 143,145,233
-1 -143,145,233

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 143,145,233.

Example:
1 x 143,145,233 = 143,145,233
and
-1 x -143,145,233 = 143,145,233
Notice both answers equal 143,145,233

With that explanation out of the way, let's continue. Next, we take the number 143,145,233 and divide it by 2:

143,145,233 ÷ 2 = 71,572,616.5

If the quotient is a whole number, then 2 and 71,572,616.5 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:

1 143,145,233
-1 -143,145,233

Now, we try dividing 143,145,233 by 3:

143,145,233 ÷ 3 = 47,715,077.6667

If the quotient is a whole number, then 3 and 47,715,077.6667 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:

1 143,145,233
-1 -143,145,233

Let's try dividing by 4:

143,145,233 ÷ 4 = 35,786,308.25

If the quotient is a whole number, then 4 and 35,786,308.25 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:

1 143,145,233
-1 143,145,233
Keep dividing by the next highest number until you cannot divide anymore.

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

1711775873,1674,1096,45722,16934,83745,199243,8591,859,02913,013,20320,449,319143,145,233
-1-7-11-77-587-3,167-4,109-6,457-22,169-34,837-45,199-243,859-1,859,029-13,013,203-20,449,319-143,145,233

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