Q: What are the factor combinations of the number 147,620,363?

 A:
Positive:   1 x 14762036311 x 1342003367 x 2203289121 x 1220003131 x 1126873139 x 1062017737 x 2002991441 x 1024431529 x 965478107 x 182098777 x 168199313 x 15851
Negative: -1 x -147620363-11 x -13420033-67 x -2203289-121 x -1220003-131 x -1126873-139 x -1062017-737 x -200299-1441 x -102443-1529 x -96547-8107 x -18209-8777 x -16819-9313 x -15851


How do I find the factor combinations of the number 147,620,363?

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 147,620,363, 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.

1 147,620,363
-1 -147,620,363

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 147,620,363.

Example:
1 x 147,620,363 = 147,620,363
and
-1 x -147,620,363 = 147,620,363
Notice both answers equal 147,620,363

With that explanation out of the way, let's continue. Next, we take the number 147,620,363 and divide it by 2:

147,620,363 ÷ 2 = 73,810,181.5

If the quotient is a whole number, then 2 and 73,810,181.5 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:

1 147,620,363
-1 -147,620,363

Now, we try dividing 147,620,363 by 3:

147,620,363 ÷ 3 = 49,206,787.6667

If the quotient is a whole number, then 3 and 49,206,787.6667 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:

1 147,620,363
-1 -147,620,363

Let's try dividing by 4:

147,620,363 ÷ 4 = 36,905,090.75

If the quotient is a whole number, then 4 and 36,905,090.75 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:

1 147,620,363
-1 147,620,363
Keep dividing by the next highest number until you cannot divide anymore.

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

111671211311397371,4411,5298,1078,7779,31315,85116,81918,20996,547102,443200,2991,062,0171,126,8731,220,0032,203,28913,420,033147,620,363
-1-11-67-121-131-139-737-1,441-1,529-8,107-8,777-9,313-15,851-16,819-18,209-96,547-102,443-200,299-1,062,017-1,126,873-1,220,003-2,203,289-13,420,033-147,620,363

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