Q: What are the factor combinations of the number 147,603,521?

 A:
Positive:   1 x 14760352113 x 1135411779 x 1868399101 x 14614211027 x 1437231313 x 1124171423 x 1037277979 x 18499
Negative: -1 x -147603521-13 x -11354117-79 x -1868399-101 x -1461421-1027 x -143723-1313 x -112417-1423 x -103727-7979 x -18499


How do I find the factor combinations of the number 147,603,521?

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 147,603,521, 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.

1 147,603,521
-1 -147,603,521

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 147,603,521.

Example:
1 x 147,603,521 = 147,603,521
and
-1 x -147,603,521 = 147,603,521
Notice both answers equal 147,603,521

With that explanation out of the way, let's continue. Next, we take the number 147,603,521 and divide it by 2:

147,603,521 ÷ 2 = 73,801,760.5

If the quotient is a whole number, then 2 and 73,801,760.5 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:

1 147,603,521
-1 -147,603,521

Now, we try dividing 147,603,521 by 3:

147,603,521 ÷ 3 = 49,201,173.6667

If the quotient is a whole number, then 3 and 49,201,173.6667 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:

1 147,603,521
-1 -147,603,521

Let's try dividing by 4:

147,603,521 ÷ 4 = 36,900,880.25

If the quotient is a whole number, then 4 and 36,900,880.25 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:

1 147,603,521
-1 147,603,521
Keep dividing by the next highest number until you cannot divide anymore.

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

113791011,0271,3131,4237,97918,499103,727112,417143,7231,461,4211,868,39911,354,117147,603,521
-1-13-79-101-1,027-1,313-1,423-7,979-18,499-103,727-112,417-143,723-1,461,421-1,868,399-11,354,117-147,603,521

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