Q: What are the factor combinations of the number 615,423,677?

 A:
Positive:   1 x 61542367711 x 559476072879 x 21376319433 x 31669
Negative: -1 x -615423677-11 x -55947607-2879 x -213763-19433 x -31669


How do I find the factor combinations of the number 615,423,677?

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 615,423,677, 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.

1 615,423,677
-1 -615,423,677

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 615,423,677.

Example:
1 x 615,423,677 = 615,423,677
and
-1 x -615,423,677 = 615,423,677
Notice both answers equal 615,423,677

With that explanation out of the way, let's continue. Next, we take the number 615,423,677 and divide it by 2:

615,423,677 ÷ 2 = 307,711,838.5

If the quotient is a whole number, then 2 and 307,711,838.5 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:

1 615,423,677
-1 -615,423,677

Now, we try dividing 615,423,677 by 3:

615,423,677 ÷ 3 = 205,141,225.6667

If the quotient is a whole number, then 3 and 205,141,225.6667 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:

1 615,423,677
-1 -615,423,677

Let's try dividing by 4:

615,423,677 ÷ 4 = 153,855,919.25

If the quotient is a whole number, then 4 and 153,855,919.25 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:

1 615,423,677
-1 615,423,677
Keep dividing by the next highest number until you cannot divide anymore.

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

1112,87919,43331,669213,76355,947,607615,423,677
-1-11-2,879-19,433-31,669-213,763-55,947,607-615,423,677

More Examples

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