Q: What are the factor combinations of the number 432,002,311?

 A:
Positive:   1 x 43200231113 x 3323094753 x 8150987127 x 3401593689 x 6269991651 x 2616614937 x 875036731 x 64181
Negative: -1 x -432002311-13 x -33230947-53 x -8150987-127 x -3401593-689 x -626999-1651 x -261661-4937 x -87503-6731 x -64181


How do I find the factor combinations of the number 432,002,311?

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 432,002,311, 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.

1 432,002,311
-1 -432,002,311

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 432,002,311.

Example:
1 x 432,002,311 = 432,002,311
and
-1 x -432,002,311 = 432,002,311
Notice both answers equal 432,002,311

With that explanation out of the way, let's continue. Next, we take the number 432,002,311 and divide it by 2:

432,002,311 ÷ 2 = 216,001,155.5

If the quotient is a whole number, then 2 and 216,001,155.5 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:

1 432,002,311
-1 -432,002,311

Now, we try dividing 432,002,311 by 3:

432,002,311 ÷ 3 = 144,000,770.3333

If the quotient is a whole number, then 3 and 144,000,770.3333 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:

1 432,002,311
-1 -432,002,311

Let's try dividing by 4:

432,002,311 ÷ 4 = 108,000,577.75

If the quotient is a whole number, then 4 and 108,000,577.75 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:

1 432,002,311
-1 432,002,311
Keep dividing by the next highest number until you cannot divide anymore.

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

113531276891,6514,9376,73164,18187,503261,661626,9993,401,5938,150,98733,230,947432,002,311
-1-13-53-127-689-1,651-4,937-6,731-64,181-87,503-261,661-626,999-3,401,593-8,150,987-33,230,947-432,002,311

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