Q: What are the factor combinations of the number 132,133,001?

 A:
Positive:   1 x 1321330017 x 1887614311 x 1201209113 x 1016407777 x 171601391 x 1452011143 x 9240071001 x 132001
Negative: -1 x -132133001-7 x -18876143-11 x -12012091-13 x -10164077-77 x -1716013-91 x -1452011-143 x -924007-1001 x -132001


How do I find the factor combinations of the number 132,133,001?

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 132,133,001, 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.

1 132,133,001
-1 -132,133,001

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 132,133,001.

Example:
1 x 132,133,001 = 132,133,001
and
-1 x -132,133,001 = 132,133,001
Notice both answers equal 132,133,001

With that explanation out of the way, let's continue. Next, we take the number 132,133,001 and divide it by 2:

132,133,001 ÷ 2 = 66,066,500.5

If the quotient is a whole number, then 2 and 66,066,500.5 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:

1 132,133,001
-1 -132,133,001

Now, we try dividing 132,133,001 by 3:

132,133,001 ÷ 3 = 44,044,333.6667

If the quotient is a whole number, then 3 and 44,044,333.6667 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:

1 132,133,001
-1 -132,133,001

Let's try dividing by 4:

132,133,001 ÷ 4 = 33,033,250.25

If the quotient is a whole number, then 4 and 33,033,250.25 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:

1 132,133,001
-1 132,133,001
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,001132,001924,0071,452,0111,716,01310,164,07712,012,09118,876,143132,133,001
-1-7-11-13-77-91-143-1,001-132,001-924,007-1,452,011-1,716,013-10,164,077-12,012,091-18,876,143-132,133,001

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