Q: What are the factor combinations of the number 462,780,875?

 A:
Positive:   1 x 4627808755 x 9255617525 x 18511235125 x 3702247269 x 17203751345 x 3440756725 x 6881513763 x 33625
Negative: -1 x -462780875-5 x -92556175-25 x -18511235-125 x -3702247-269 x -1720375-1345 x -344075-6725 x -68815-13763 x -33625


How do I find the factor combinations of the number 462,780,875?

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 462,780,875, 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.

1 462,780,875
-1 -462,780,875

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 462,780,875.

Example:
1 x 462,780,875 = 462,780,875
and
-1 x -462,780,875 = 462,780,875
Notice both answers equal 462,780,875

With that explanation out of the way, let's continue. Next, we take the number 462,780,875 and divide it by 2:

462,780,875 ÷ 2 = 231,390,437.5

If the quotient is a whole number, then 2 and 231,390,437.5 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:

1 462,780,875
-1 -462,780,875

Now, we try dividing 462,780,875 by 3:

462,780,875 ÷ 3 = 154,260,291.6667

If the quotient is a whole number, then 3 and 154,260,291.6667 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:

1 462,780,875
-1 -462,780,875

Let's try dividing by 4:

462,780,875 ÷ 4 = 115,695,218.75

If the quotient is a whole number, then 4 and 115,695,218.75 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:

1 462,780,875
-1 462,780,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252691,3456,72513,76333,62568,815344,0751,720,3753,702,24718,511,23592,556,175462,780,875
-1-5-25-125-269-1,345-6,725-13,763-33,625-68,815-344,075-1,720,375-3,702,247-18,511,235-92,556,175-462,780,875

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 462,780,875:


Ask a Question