Q: What are the factor combinations of the number 145,133,125?

 A:
Positive:   1 x 1451331255 x 2902662525 x 580532573 x 1988125125 x 1161065365 x 397625625 x 2322131825 x 795253181 x 456259125 x 15905
Negative: -1 x -145133125-5 x -29026625-25 x -5805325-73 x -1988125-125 x -1161065-365 x -397625-625 x -232213-1825 x -79525-3181 x -45625-9125 x -15905


How do I find the factor combinations of the number 145,133,125?

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 145,133,125, 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.

1 145,133,125
-1 -145,133,125

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 145,133,125.

Example:
1 x 145,133,125 = 145,133,125
and
-1 x -145,133,125 = 145,133,125
Notice both answers equal 145,133,125

With that explanation out of the way, let's continue. Next, we take the number 145,133,125 and divide it by 2:

145,133,125 ÷ 2 = 72,566,562.5

If the quotient is a whole number, then 2 and 72,566,562.5 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:

1 145,133,125
-1 -145,133,125

Now, we try dividing 145,133,125 by 3:

145,133,125 ÷ 3 = 48,377,708.3333

If the quotient is a whole number, then 3 and 48,377,708.3333 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:

1 145,133,125
-1 -145,133,125

Let's try dividing by 4:

145,133,125 ÷ 4 = 36,283,281.25

If the quotient is a whole number, then 4 and 36,283,281.25 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:

1 145,133,125
-1 145,133,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525731253656251,8253,1819,12515,90545,62579,525232,213397,6251,161,0651,988,1255,805,32529,026,625145,133,125
-1-5-25-73-125-365-625-1,825-3,181-9,125-15,905-45,625-79,525-232,213-397,625-1,161,065-1,988,125-5,805,325-29,026,625-145,133,125

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