Q: What are the factor combinations of the number 147,001,463?

 A:
Positive:   1 x 1470014637 x 2100020997 x 1515479149 x 986587679 x 2164971043 x 1409411453 x 10117110171 x 14453
Negative: -1 x -147001463-7 x -21000209-97 x -1515479-149 x -986587-679 x -216497-1043 x -140941-1453 x -101171-10171 x -14453


How do I find the factor combinations of the number 147,001,463?

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 147,001,463, 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.

1 147,001,463
-1 -147,001,463

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 147,001,463.

Example:
1 x 147,001,463 = 147,001,463
and
-1 x -147,001,463 = 147,001,463
Notice both answers equal 147,001,463

With that explanation out of the way, let's continue. Next, we take the number 147,001,463 and divide it by 2:

147,001,463 ÷ 2 = 73,500,731.5

If the quotient is a whole number, then 2 and 73,500,731.5 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:

1 147,001,463
-1 -147,001,463

Now, we try dividing 147,001,463 by 3:

147,001,463 ÷ 3 = 49,000,487.6667

If the quotient is a whole number, then 3 and 49,000,487.6667 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:

1 147,001,463
-1 -147,001,463

Let's try dividing by 4:

147,001,463 ÷ 4 = 36,750,365.75

If the quotient is a whole number, then 4 and 36,750,365.75 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:

1 147,001,463
-1 147,001,463
Keep dividing by the next highest number until you cannot divide anymore.

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

17971496791,0431,45310,17114,453101,171140,941216,497986,5871,515,47921,000,209147,001,463
-1-7-97-149-679-1,043-1,453-10,171-14,453-101,171-140,941-216,497-986,587-1,515,479-21,000,209-147,001,463

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