Q: What are the factor combinations of the number 147,631,625?

 A:
Positive:   1 x 1476316255 x 2952632525 x 5905265125 x 1181053
Negative: -1 x -147631625-5 x -29526325-25 x -5905265-125 x -1181053


How do I find the factor combinations of the number 147,631,625?

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 147,631,625, 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.

1 147,631,625
-1 -147,631,625

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 147,631,625.

Example:
1 x 147,631,625 = 147,631,625
and
-1 x -147,631,625 = 147,631,625
Notice both answers equal 147,631,625

With that explanation out of the way, let's continue. Next, we take the number 147,631,625 and divide it by 2:

147,631,625 ÷ 2 = 73,815,812.5

If the quotient is a whole number, then 2 and 73,815,812.5 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:

1 147,631,625
-1 -147,631,625

Now, we try dividing 147,631,625 by 3:

147,631,625 ÷ 3 = 49,210,541.6667

If the quotient is a whole number, then 3 and 49,210,541.6667 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:

1 147,631,625
-1 -147,631,625

Let's try dividing by 4:

147,631,625 ÷ 4 = 36,907,906.25

If the quotient is a whole number, then 4 and 36,907,906.25 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:

1 147,631,625
-1 147,631,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251,181,0535,905,26529,526,325147,631,625
-1-5-25-125-1,181,053-5,905,265-29,526,325-147,631,625

More Examples

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