Q: What are the factor combinations of the number 477,152,431?

 A:
Positive:   1 x 4771524317 x 6816463361 x 7822171223 x 2139697427 x 11174531561 x 3056715011 x 9522113603 x 35077
Negative: -1 x -477152431-7 x -68164633-61 x -7822171-223 x -2139697-427 x -1117453-1561 x -305671-5011 x -95221-13603 x -35077


How do I find the factor combinations of the number 477,152,431?

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 477,152,431, 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.

1 477,152,431
-1 -477,152,431

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 477,152,431.

Example:
1 x 477,152,431 = 477,152,431
and
-1 x -477,152,431 = 477,152,431
Notice both answers equal 477,152,431

With that explanation out of the way, let's continue. Next, we take the number 477,152,431 and divide it by 2:

477,152,431 ÷ 2 = 238,576,215.5

If the quotient is a whole number, then 2 and 238,576,215.5 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:

1 477,152,431
-1 -477,152,431

Now, we try dividing 477,152,431 by 3:

477,152,431 ÷ 3 = 159,050,810.3333

If the quotient is a whole number, then 3 and 159,050,810.3333 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:

1 477,152,431
-1 -477,152,431

Let's try dividing by 4:

477,152,431 ÷ 4 = 119,288,107.75

If the quotient is a whole number, then 4 and 119,288,107.75 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:

1 477,152,431
-1 477,152,431
Keep dividing by the next highest number until you cannot divide anymore.

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

17612234271,5615,01113,60335,07795,221305,6711,117,4532,139,6977,822,17168,164,633477,152,431
-1-7-61-223-427-1,561-5,011-13,603-35,077-95,221-305,671-1,117,453-2,139,697-7,822,171-68,164,633-477,152,431

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