Q: What are the factor combinations of the number 655,426,471?

 A:
Positive:   1 x 6554264717 x 93632353101 x 6489371433 x 1513687707 x 9270532141 x 3061313031 x 21624114987 x 43733
Negative: -1 x -655426471-7 x -93632353-101 x -6489371-433 x -1513687-707 x -927053-2141 x -306131-3031 x -216241-14987 x -43733


How do I find the factor combinations of the number 655,426,471?

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 655,426,471, 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.

1 655,426,471
-1 -655,426,471

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 655,426,471.

Example:
1 x 655,426,471 = 655,426,471
and
-1 x -655,426,471 = 655,426,471
Notice both answers equal 655,426,471

With that explanation out of the way, let's continue. Next, we take the number 655,426,471 and divide it by 2:

655,426,471 ÷ 2 = 327,713,235.5

If the quotient is a whole number, then 2 and 327,713,235.5 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:

1 655,426,471
-1 -655,426,471

Now, we try dividing 655,426,471 by 3:

655,426,471 ÷ 3 = 218,475,490.3333

If the quotient is a whole number, then 3 and 218,475,490.3333 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:

1 655,426,471
-1 -655,426,471

Let's try dividing by 4:

655,426,471 ÷ 4 = 163,856,617.75

If the quotient is a whole number, then 4 and 163,856,617.75 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:

1 655,426,471
-1 655,426,471
Keep dividing by the next highest number until you cannot divide anymore.

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

171014337072,1413,03114,98743,733216,241306,131927,0531,513,6876,489,37193,632,353655,426,471
-1-7-101-433-707-2,141-3,031-14,987-43,733-216,241-306,131-927,053-1,513,687-6,489,371-93,632,353-655,426,471

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