Q: What are the factor combinations of the number 427,520,635?

 A:
Positive:   1 x 4275206355 x 8550412761 x 700853567 x 6380905305 x 1401707335 x 12761814087 x 10460520435 x 20921
Negative: -1 x -427520635-5 x -85504127-61 x -7008535-67 x -6380905-305 x -1401707-335 x -1276181-4087 x -104605-20435 x -20921


How do I find the factor combinations of the number 427,520,635?

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 427,520,635, 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.

1 427,520,635
-1 -427,520,635

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 427,520,635.

Example:
1 x 427,520,635 = 427,520,635
and
-1 x -427,520,635 = 427,520,635
Notice both answers equal 427,520,635

With that explanation out of the way, let's continue. Next, we take the number 427,520,635 and divide it by 2:

427,520,635 ÷ 2 = 213,760,317.5

If the quotient is a whole number, then 2 and 213,760,317.5 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:

1 427,520,635
-1 -427,520,635

Now, we try dividing 427,520,635 by 3:

427,520,635 ÷ 3 = 142,506,878.3333

If the quotient is a whole number, then 3 and 142,506,878.3333 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:

1 427,520,635
-1 -427,520,635

Let's try dividing by 4:

427,520,635 ÷ 4 = 106,880,158.75

If the quotient is a whole number, then 4 and 106,880,158.75 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:

1 427,520,635
-1 427,520,635
Keep dividing by the next highest number until you cannot divide anymore.

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

1561673053354,08720,43520,921104,6051,276,1811,401,7076,380,9057,008,53585,504,127427,520,635
-1-5-61-67-305-335-4,087-20,435-20,921-104,605-1,276,181-1,401,707-6,380,905-7,008,535-85,504,127-427,520,635

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