Q: What are the factor combinations of the number 145,005,325?

 A:
Positive:   1 x 1450053255 x 2900106517 x 852972525 x 580021385 x 1705945271 x 535075425 x 3411891259 x 1151751355 x 1070154607 x 314756295 x 230356775 x 21403
Negative: -1 x -145005325-5 x -29001065-17 x -8529725-25 x -5800213-85 x -1705945-271 x -535075-425 x -341189-1259 x -115175-1355 x -107015-4607 x -31475-6295 x -23035-6775 x -21403


How do I find the factor combinations of the number 145,005,325?

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 145,005,325, 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.

1 145,005,325
-1 -145,005,325

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 145,005,325.

Example:
1 x 145,005,325 = 145,005,325
and
-1 x -145,005,325 = 145,005,325
Notice both answers equal 145,005,325

With that explanation out of the way, let's continue. Next, we take the number 145,005,325 and divide it by 2:

145,005,325 ÷ 2 = 72,502,662.5

If the quotient is a whole number, then 2 and 72,502,662.5 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:

1 145,005,325
-1 -145,005,325

Now, we try dividing 145,005,325 by 3:

145,005,325 ÷ 3 = 48,335,108.3333

If the quotient is a whole number, then 3 and 48,335,108.3333 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:

1 145,005,325
-1 -145,005,325

Let's try dividing by 4:

145,005,325 ÷ 4 = 36,251,331.25

If the quotient is a whole number, then 4 and 36,251,331.25 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:

1 145,005,325
-1 145,005,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151725852714251,2591,3554,6076,2956,77521,40323,03531,475107,015115,175341,189535,0751,705,9455,800,2138,529,72529,001,065145,005,325
-1-5-17-25-85-271-425-1,259-1,355-4,607-6,295-6,775-21,403-23,035-31,475-107,015-115,175-341,189-535,075-1,705,945-5,800,213-8,529,725-29,001,065-145,005,325

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