Q: What are the factor combinations of the number 16,241,143?

 A:
Positive:   1 x 1624114319 x 85479743 x 377701103 x 157681193 x 84151817 x 198791957 x 82993667 x 4429
Negative: -1 x -16241143-19 x -854797-43 x -377701-103 x -157681-193 x -84151-817 x -19879-1957 x -8299-3667 x -4429


How do I find the factor combinations of the number 16,241,143?

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 16,241,143, 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 16,241,143
-1 -16,241,143

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 16,241,143.

Example:
1 x 16,241,143 = 16,241,143
and
-1 x -16,241,143 = 16,241,143
Notice both answers equal 16,241,143

With that explanation out of the way, let's continue. Next, we take the number 16,241,143 and divide it by 2:

16,241,143 ÷ 2 = 8,120,571.5

If the quotient is a whole number, then 2 and 8,120,571.5 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 16,241,143
-1 -16,241,143

Now, we try dividing 16,241,143 by 3:

16,241,143 ÷ 3 = 5,413,714.3333

If the quotient is a whole number, then 3 and 5,413,714.3333 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 16,241,143
-1 -16,241,143

Let's try dividing by 4:

16,241,143 ÷ 4 = 4,060,285.75

If the quotient is a whole number, then 4 and 4,060,285.75 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 16,241,143
-1 16,241,143
Keep dividing by the next highest number until you cannot divide anymore.

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

119431031938171,9573,6674,4298,29919,87984,151157,681377,701854,79716,241,143
-1-19-43-103-193-817-1,957-3,667-4,429-8,299-19,879-84,151-157,681-377,701-854,797-16,241,143

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