Q: What are the factor combinations of the number 132,225,533?

 A:
Positive:   1 x 13222553311 x 1202050341 x 3225013121 x 1092773451 x 2931831331 x 993432423 x 545714961 x 26653
Negative: -1 x -132225533-11 x -12020503-41 x -3225013-121 x -1092773-451 x -293183-1331 x -99343-2423 x -54571-4961 x -26653


How do I find the factor combinations of the number 132,225,533?

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 132,225,533, 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.

1 132,225,533
-1 -132,225,533

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 132,225,533.

Example:
1 x 132,225,533 = 132,225,533
and
-1 x -132,225,533 = 132,225,533
Notice both answers equal 132,225,533

With that explanation out of the way, let's continue. Next, we take the number 132,225,533 and divide it by 2:

132,225,533 ÷ 2 = 66,112,766.5

If the quotient is a whole number, then 2 and 66,112,766.5 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:

1 132,225,533
-1 -132,225,533

Now, we try dividing 132,225,533 by 3:

132,225,533 ÷ 3 = 44,075,177.6667

If the quotient is a whole number, then 3 and 44,075,177.6667 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:

1 132,225,533
-1 -132,225,533

Let's try dividing by 4:

132,225,533 ÷ 4 = 33,056,383.25

If the quotient is a whole number, then 4 and 33,056,383.25 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:

1 132,225,533
-1 132,225,533
Keep dividing by the next highest number until you cannot divide anymore.

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

111411214511,3312,4234,96126,65354,57199,343293,1831,092,7733,225,01312,020,503132,225,533
-1-11-41-121-451-1,331-2,423-4,961-26,653-54,571-99,343-293,183-1,092,773-3,225,013-12,020,503-132,225,533

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