Q: What are the factor combinations of the number 462,108,815?

 A:
Positive:   1 x 4621088155 x 924217637 x 6601554535 x 13203109419 x 11028852095 x 2205772933 x 15755514665 x 31511
Negative: -1 x -462108815-5 x -92421763-7 x -66015545-35 x -13203109-419 x -1102885-2095 x -220577-2933 x -157555-14665 x -31511


How do I find the factor combinations of the number 462,108,815?

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 462,108,815, 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.

1 462,108,815
-1 -462,108,815

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 462,108,815.

Example:
1 x 462,108,815 = 462,108,815
and
-1 x -462,108,815 = 462,108,815
Notice both answers equal 462,108,815

With that explanation out of the way, let's continue. Next, we take the number 462,108,815 and divide it by 2:

462,108,815 ÷ 2 = 231,054,407.5

If the quotient is a whole number, then 2 and 231,054,407.5 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:

1 462,108,815
-1 -462,108,815

Now, we try dividing 462,108,815 by 3:

462,108,815 ÷ 3 = 154,036,271.6667

If the quotient is a whole number, then 3 and 154,036,271.6667 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:

1 462,108,815
-1 -462,108,815

Let's try dividing by 4:

462,108,815 ÷ 4 = 115,527,203.75

If the quotient is a whole number, then 4 and 115,527,203.75 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:

1 462,108,815
-1 462,108,815
Keep dividing by the next highest number until you cannot divide anymore.

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

157354192,0952,93314,66531,511157,555220,5771,102,88513,203,10966,015,54592,421,763462,108,815
-1-5-7-35-419-2,095-2,933-14,665-31,511-157,555-220,577-1,102,885-13,203,109-66,015,545-92,421,763-462,108,815

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