Q: What are the factor combinations of the number 462,847,435?

 A:
Positive:   1 x 4628474355 x 92569487113 x 4095995191 x 2423285565 x 819199955 x 4846574289 x 10791521445 x 21583
Negative: -1 x -462847435-5 x -92569487-113 x -4095995-191 x -2423285-565 x -819199-955 x -484657-4289 x -107915-21445 x -21583


How do I find the factor combinations of the number 462,847,435?

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 462,847,435, 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.

1 462,847,435
-1 -462,847,435

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 462,847,435.

Example:
1 x 462,847,435 = 462,847,435
and
-1 x -462,847,435 = 462,847,435
Notice both answers equal 462,847,435

With that explanation out of the way, let's continue. Next, we take the number 462,847,435 and divide it by 2:

462,847,435 ÷ 2 = 231,423,717.5

If the quotient is a whole number, then 2 and 231,423,717.5 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:

1 462,847,435
-1 -462,847,435

Now, we try dividing 462,847,435 by 3:

462,847,435 ÷ 3 = 154,282,478.3333

If the quotient is a whole number, then 3 and 154,282,478.3333 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:

1 462,847,435
-1 -462,847,435

Let's try dividing by 4:

462,847,435 ÷ 4 = 115,711,858.75

If the quotient is a whole number, then 4 and 115,711,858.75 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:

1 462,847,435
-1 462,847,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151131915659554,28921,44521,583107,915484,657819,1992,423,2854,095,99592,569,487462,847,435
-1-5-113-191-565-955-4,289-21,445-21,583-107,915-484,657-819,199-2,423,285-4,095,995-92,569,487-462,847,435

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