Q: What are the factor combinations of the number 475,627,649?

 A:
Positive:   1 x 4756276497 x 6794680717 x 2797809723 x 20679463119 x 3996871161 x 2954209391 x 12164392737 x 173777
Negative: -1 x -475627649-7 x -67946807-17 x -27978097-23 x -20679463-119 x -3996871-161 x -2954209-391 x -1216439-2737 x -173777


How do I find the factor combinations of the number 475,627,649?

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 475,627,649, 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.

1 475,627,649
-1 -475,627,649

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 475,627,649.

Example:
1 x 475,627,649 = 475,627,649
and
-1 x -475,627,649 = 475,627,649
Notice both answers equal 475,627,649

With that explanation out of the way, let's continue. Next, we take the number 475,627,649 and divide it by 2:

475,627,649 ÷ 2 = 237,813,824.5

If the quotient is a whole number, then 2 and 237,813,824.5 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:

1 475,627,649
-1 -475,627,649

Now, we try dividing 475,627,649 by 3:

475,627,649 ÷ 3 = 158,542,549.6667

If the quotient is a whole number, then 3 and 158,542,549.6667 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:

1 475,627,649
-1 -475,627,649

Let's try dividing by 4:

475,627,649 ÷ 4 = 118,906,912.25

If the quotient is a whole number, then 4 and 118,906,912.25 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:

1 475,627,649
-1 475,627,649
Keep dividing by the next highest number until you cannot divide anymore.

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

1717231191613912,737173,7771,216,4392,954,2093,996,87120,679,46327,978,09767,946,807475,627,649
-1-7-17-23-119-161-391-2,737-173,777-1,216,439-2,954,209-3,996,871-20,679,463-27,978,097-67,946,807-475,627,649

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