Q: What are the factor combinations of the number 145,530,049?

 A:
Positive:   1 x 1455300497 x 2079000749 x 297000159 x 246661171 x 2049719413 x 352373497 x 292817709 x 2052612891 x 503393479 x 418314189 x 347414963 x 29323
Negative: -1 x -145530049-7 x -20790007-49 x -2970001-59 x -2466611-71 x -2049719-413 x -352373-497 x -292817-709 x -205261-2891 x -50339-3479 x -41831-4189 x -34741-4963 x -29323


How do I find the factor combinations of the number 145,530,049?

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 145,530,049, 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.

1 145,530,049
-1 -145,530,049

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 145,530,049.

Example:
1 x 145,530,049 = 145,530,049
and
-1 x -145,530,049 = 145,530,049
Notice both answers equal 145,530,049

With that explanation out of the way, let's continue. Next, we take the number 145,530,049 and divide it by 2:

145,530,049 ÷ 2 = 72,765,024.5

If the quotient is a whole number, then 2 and 72,765,024.5 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:

1 145,530,049
-1 -145,530,049

Now, we try dividing 145,530,049 by 3:

145,530,049 ÷ 3 = 48,510,016.3333

If the quotient is a whole number, then 3 and 48,510,016.3333 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:

1 145,530,049
-1 -145,530,049

Let's try dividing by 4:

145,530,049 ÷ 4 = 36,382,512.25

If the quotient is a whole number, then 4 and 36,382,512.25 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:

1 145,530,049
-1 145,530,049
Keep dividing by the next highest number until you cannot divide anymore.

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

174959714134977092,8913,4794,1894,96329,32334,74141,83150,339205,261292,817352,3732,049,7192,466,6112,970,00120,790,007145,530,049
-1-7-49-59-71-413-497-709-2,891-3,479-4,189-4,963-29,323-34,741-41,831-50,339-205,261-292,817-352,373-2,049,719-2,466,611-2,970,001-20,790,007-145,530,049

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