Q: What are the factor combinations of the number 467,880,577?

 A:
Positive:   1 x 46788057729 x 1613381337 x 12645421269 x 17393331073 x 4360491621 x 2886377801 x 599779953 x 47009
Negative: -1 x -467880577-29 x -16133813-37 x -12645421-269 x -1739333-1073 x -436049-1621 x -288637-7801 x -59977-9953 x -47009


How do I find the factor combinations of the number 467,880,577?

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 467,880,577, 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.

1 467,880,577
-1 -467,880,577

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 467,880,577.

Example:
1 x 467,880,577 = 467,880,577
and
-1 x -467,880,577 = 467,880,577
Notice both answers equal 467,880,577

With that explanation out of the way, let's continue. Next, we take the number 467,880,577 and divide it by 2:

467,880,577 ÷ 2 = 233,940,288.5

If the quotient is a whole number, then 2 and 233,940,288.5 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:

1 467,880,577
-1 -467,880,577

Now, we try dividing 467,880,577 by 3:

467,880,577 ÷ 3 = 155,960,192.3333

If the quotient is a whole number, then 3 and 155,960,192.3333 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:

1 467,880,577
-1 -467,880,577

Let's try dividing by 4:

467,880,577 ÷ 4 = 116,970,144.25

If the quotient is a whole number, then 4 and 116,970,144.25 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:

1 467,880,577
-1 467,880,577
Keep dividing by the next highest number until you cannot divide anymore.

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

129372691,0731,6217,8019,95347,00959,977288,637436,0491,739,33312,645,42116,133,813467,880,577
-1-29-37-269-1,073-1,621-7,801-9,953-47,009-59,977-288,637-436,049-1,739,333-12,645,421-16,133,813-467,880,577

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