Q: What are the factor combinations of the number 143,342,011?

 A:
Positive:   1 x 14334201117 x 843188367 x 2139433317 x 452183397 x 3610631139 x 1258495389 x 265996749 x 21239
Negative: -1 x -143342011-17 x -8431883-67 x -2139433-317 x -452183-397 x -361063-1139 x -125849-5389 x -26599-6749 x -21239


How do I find the factor combinations of the number 143,342,011?

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 143,342,011, 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.

1 143,342,011
-1 -143,342,011

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 143,342,011.

Example:
1 x 143,342,011 = 143,342,011
and
-1 x -143,342,011 = 143,342,011
Notice both answers equal 143,342,011

With that explanation out of the way, let's continue. Next, we take the number 143,342,011 and divide it by 2:

143,342,011 ÷ 2 = 71,671,005.5

If the quotient is a whole number, then 2 and 71,671,005.5 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:

1 143,342,011
-1 -143,342,011

Now, we try dividing 143,342,011 by 3:

143,342,011 ÷ 3 = 47,780,670.3333

If the quotient is a whole number, then 3 and 47,780,670.3333 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:

1 143,342,011
-1 -143,342,011

Let's try dividing by 4:

143,342,011 ÷ 4 = 35,835,502.75

If the quotient is a whole number, then 4 and 35,835,502.75 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:

1 143,342,011
-1 143,342,011
Keep dividing by the next highest number until you cannot divide anymore.

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

117673173971,1395,3896,74921,23926,599125,849361,063452,1832,139,4338,431,883143,342,011
-1-17-67-317-397-1,139-5,389-6,749-21,239-26,599-125,849-361,063-452,183-2,139,433-8,431,883-143,342,011

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