Q: What are the factor combinations of the number 234,818,143?

 A:
Positive:   1 x 2348181437 x 3354544949 x 479220753 x 4430531343 x 684601371 x 6329332597 x 9041912917 x 18179
Negative: -1 x -234818143-7 x -33545449-49 x -4792207-53 x -4430531-343 x -684601-371 x -632933-2597 x -90419-12917 x -18179


How do I find the factor combinations of the number 234,818,143?

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 234,818,143, 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.

1 234,818,143
-1 -234,818,143

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 234,818,143.

Example:
1 x 234,818,143 = 234,818,143
and
-1 x -234,818,143 = 234,818,143
Notice both answers equal 234,818,143

With that explanation out of the way, let's continue. Next, we take the number 234,818,143 and divide it by 2:

234,818,143 ÷ 2 = 117,409,071.5

If the quotient is a whole number, then 2 and 117,409,071.5 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:

1 234,818,143
-1 -234,818,143

Now, we try dividing 234,818,143 by 3:

234,818,143 ÷ 3 = 78,272,714.3333

If the quotient is a whole number, then 3 and 78,272,714.3333 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:

1 234,818,143
-1 -234,818,143

Let's try dividing by 4:

234,818,143 ÷ 4 = 58,704,535.75

If the quotient is a whole number, then 4 and 58,704,535.75 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:

1 234,818,143
-1 234,818,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1749533433712,59712,91718,17990,419632,933684,6014,430,5314,792,20733,545,449234,818,143
-1-7-49-53-343-371-2,597-12,917-18,179-90,419-632,933-684,601-4,430,531-4,792,207-33,545,449-234,818,143

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