Q: What are the factor combinations of the number 468,702,143?

 A:
Positive:   1 x 4687021437 x 6695744913 x 3605401191 x 5150573359 x 13055772513 x 1865114667 x 10042914347 x 32669
Negative: -1 x -468702143-7 x -66957449-13 x -36054011-91 x -5150573-359 x -1305577-2513 x -186511-4667 x -100429-14347 x -32669


How do I find the factor combinations of the number 468,702,143?

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 468,702,143, 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.

1 468,702,143
-1 -468,702,143

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 468,702,143.

Example:
1 x 468,702,143 = 468,702,143
and
-1 x -468,702,143 = 468,702,143
Notice both answers equal 468,702,143

With that explanation out of the way, let's continue. Next, we take the number 468,702,143 and divide it by 2:

468,702,143 ÷ 2 = 234,351,071.5

If the quotient is a whole number, then 2 and 234,351,071.5 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:

1 468,702,143
-1 -468,702,143

Now, we try dividing 468,702,143 by 3:

468,702,143 ÷ 3 = 156,234,047.6667

If the quotient is a whole number, then 3 and 156,234,047.6667 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:

1 468,702,143
-1 -468,702,143

Let's try dividing by 4:

468,702,143 ÷ 4 = 117,175,535.75

If the quotient is a whole number, then 4 and 117,175,535.75 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:

1 468,702,143
-1 468,702,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1713913592,5134,66714,34732,669100,429186,5111,305,5775,150,57336,054,01166,957,449468,702,143
-1-7-13-91-359-2,513-4,667-14,347-32,669-100,429-186,511-1,305,577-5,150,573-36,054,011-66,957,449-468,702,143

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