Q: What are the factor combinations of the number 462,457,511?

 A:
Positive:   1 x 46245751117 x 2720338319 x 24339869289 x 1600199323 x 14317575491 x 84221
Negative: -1 x -462457511-17 x -27203383-19 x -24339869-289 x -1600199-323 x -1431757-5491 x -84221


How do I find the factor combinations of the number 462,457,511?

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 462,457,511, 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.

1 462,457,511
-1 -462,457,511

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 462,457,511.

Example:
1 x 462,457,511 = 462,457,511
and
-1 x -462,457,511 = 462,457,511
Notice both answers equal 462,457,511

With that explanation out of the way, let's continue. Next, we take the number 462,457,511 and divide it by 2:

462,457,511 ÷ 2 = 231,228,755.5

If the quotient is a whole number, then 2 and 231,228,755.5 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:

1 462,457,511
-1 -462,457,511

Now, we try dividing 462,457,511 by 3:

462,457,511 ÷ 3 = 154,152,503.6667

If the quotient is a whole number, then 3 and 154,152,503.6667 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:

1 462,457,511
-1 -462,457,511

Let's try dividing by 4:

462,457,511 ÷ 4 = 115,614,377.75

If the quotient is a whole number, then 4 and 115,614,377.75 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:

1 462,457,511
-1 462,457,511
Keep dividing by the next highest number until you cannot divide anymore.

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

117192893235,49184,2211,431,7571,600,19924,339,86927,203,383462,457,511
-1-17-19-289-323-5,491-84,221-1,431,757-1,600,199-24,339,869-27,203,383-462,457,511

More Examples

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