Q: What are the factor combinations of the number 660,502,201?

 A:
Positive:   1 x 66050220123 x 28717487167 x 3955103359 x 1839839479 x 13789193841 x 1719618257 x 7999311017 x 59953
Negative: -1 x -660502201-23 x -28717487-167 x -3955103-359 x -1839839-479 x -1378919-3841 x -171961-8257 x -79993-11017 x -59953


How do I find the factor combinations of the number 660,502,201?

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 660,502,201, 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.

1 660,502,201
-1 -660,502,201

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 660,502,201.

Example:
1 x 660,502,201 = 660,502,201
and
-1 x -660,502,201 = 660,502,201
Notice both answers equal 660,502,201

With that explanation out of the way, let's continue. Next, we take the number 660,502,201 and divide it by 2:

660,502,201 ÷ 2 = 330,251,100.5

If the quotient is a whole number, then 2 and 330,251,100.5 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:

1 660,502,201
-1 -660,502,201

Now, we try dividing 660,502,201 by 3:

660,502,201 ÷ 3 = 220,167,400.3333

If the quotient is a whole number, then 3 and 220,167,400.3333 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:

1 660,502,201
-1 -660,502,201

Let's try dividing by 4:

660,502,201 ÷ 4 = 165,125,550.25

If the quotient is a whole number, then 4 and 165,125,550.25 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:

1 660,502,201
-1 660,502,201
Keep dividing by the next highest number until you cannot divide anymore.

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

1231673594793,8418,25711,01759,95379,993171,9611,378,9191,839,8393,955,10328,717,487660,502,201
-1-23-167-359-479-3,841-8,257-11,017-59,953-79,993-171,961-1,378,919-1,839,839-3,955,103-28,717,487-660,502,201

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