Q: What are the factor combinations of the number 210,607,067?

 A:
Positive:   1 x 21060706711 x 1914609717 x 1238865123 x 9156829187 x 1126241253 x 832439391 x 538637529 x 3981232129 x 989234301 x 489675819 x 361938993 x 23419
Negative: -1 x -210607067-11 x -19146097-17 x -12388651-23 x -9156829-187 x -1126241-253 x -832439-391 x -538637-529 x -398123-2129 x -98923-4301 x -48967-5819 x -36193-8993 x -23419


How do I find the factor combinations of the number 210,607,067?

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 210,607,067, 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.

1 210,607,067
-1 -210,607,067

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 210,607,067.

Example:
1 x 210,607,067 = 210,607,067
and
-1 x -210,607,067 = 210,607,067
Notice both answers equal 210,607,067

With that explanation out of the way, let's continue. Next, we take the number 210,607,067 and divide it by 2:

210,607,067 ÷ 2 = 105,303,533.5

If the quotient is a whole number, then 2 and 105,303,533.5 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:

1 210,607,067
-1 -210,607,067

Now, we try dividing 210,607,067 by 3:

210,607,067 ÷ 3 = 70,202,355.6667

If the quotient is a whole number, then 3 and 70,202,355.6667 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:

1 210,607,067
-1 -210,607,067

Let's try dividing by 4:

210,607,067 ÷ 4 = 52,651,766.75

If the quotient is a whole number, then 4 and 52,651,766.75 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:

1 210,607,067
-1 210,607,067
Keep dividing by the next highest number until you cannot divide anymore.

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

11117231872533915292,1294,3015,8198,99323,41936,19348,96798,923398,123538,637832,4391,126,2419,156,82912,388,65119,146,097210,607,067
-1-11-17-23-187-253-391-529-2,129-4,301-5,819-8,993-23,419-36,193-48,967-98,923-398,123-538,637-832,439-1,126,241-9,156,829-12,388,651-19,146,097-210,607,067

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