Q: What are the factor combinations of the number 133,042,301?

 A:
Positive:   1 x 1330423017 x 1900604343 x 309400749 x 2715149233 x 570997271 x 490931301 x 4420011631 x 815711897 x 701332107 x 6314310019 x 1327911417 x 11653
Negative: -1 x -133042301-7 x -19006043-43 x -3094007-49 x -2715149-233 x -570997-271 x -490931-301 x -442001-1631 x -81571-1897 x -70133-2107 x -63143-10019 x -13279-11417 x -11653


How do I find the factor combinations of the number 133,042,301?

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 133,042,301, 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.

1 133,042,301
-1 -133,042,301

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 133,042,301.

Example:
1 x 133,042,301 = 133,042,301
and
-1 x -133,042,301 = 133,042,301
Notice both answers equal 133,042,301

With that explanation out of the way, let's continue. Next, we take the number 133,042,301 and divide it by 2:

133,042,301 ÷ 2 = 66,521,150.5

If the quotient is a whole number, then 2 and 66,521,150.5 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:

1 133,042,301
-1 -133,042,301

Now, we try dividing 133,042,301 by 3:

133,042,301 ÷ 3 = 44,347,433.6667

If the quotient is a whole number, then 3 and 44,347,433.6667 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:

1 133,042,301
-1 -133,042,301

Let's try dividing by 4:

133,042,301 ÷ 4 = 33,260,575.25

If the quotient is a whole number, then 4 and 33,260,575.25 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:

1 133,042,301
-1 133,042,301
Keep dividing by the next highest number until you cannot divide anymore.

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

1743492332713011,6311,8972,10710,01911,41711,65313,27963,14370,13381,571442,001490,931570,9972,715,1493,094,00719,006,043133,042,301
-1-7-43-49-233-271-301-1,631-1,897-2,107-10,019-11,417-11,653-13,279-63,143-70,133-81,571-442,001-490,931-570,997-2,715,149-3,094,007-19,006,043-133,042,301

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