Q: What are the factor combinations of the number 143,341,231?

 A:
Positive:   1 x 14334123111 x 1303102143 x 3333517179 x 800789473 x 3030471693 x 846671969 x 727997697 x 18623
Negative: -1 x -143341231-11 x -13031021-43 x -3333517-179 x -800789-473 x -303047-1693 x -84667-1969 x -72799-7697 x -18623


How do I find the factor combinations of the number 143,341,231?

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 143,341,231, 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.

1 143,341,231
-1 -143,341,231

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 143,341,231.

Example:
1 x 143,341,231 = 143,341,231
and
-1 x -143,341,231 = 143,341,231
Notice both answers equal 143,341,231

With that explanation out of the way, let's continue. Next, we take the number 143,341,231 and divide it by 2:

143,341,231 ÷ 2 = 71,670,615.5

If the quotient is a whole number, then 2 and 71,670,615.5 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:

1 143,341,231
-1 -143,341,231

Now, we try dividing 143,341,231 by 3:

143,341,231 ÷ 3 = 47,780,410.3333

If the quotient is a whole number, then 3 and 47,780,410.3333 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:

1 143,341,231
-1 -143,341,231

Let's try dividing by 4:

143,341,231 ÷ 4 = 35,835,307.75

If the quotient is a whole number, then 4 and 35,835,307.75 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:

1 143,341,231
-1 143,341,231
Keep dividing by the next highest number until you cannot divide anymore.

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

111431794731,6931,9697,69718,62372,79984,667303,047800,7893,333,51713,031,021143,341,231
-1-11-43-179-473-1,693-1,969-7,697-18,623-72,799-84,667-303,047-800,789-3,333,517-13,031,021-143,341,231

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