Q: What are the factor combinations of the number 120,230,201?

 A:
Positive:   1 x 1202302017 x 1717574313 x 924847729 x 414586991 x 1321211203 x 592267377 x 318913841 x 1429611571 x 765312639 x 455595887 x 2042310933 x 10997
Negative: -1 x -120230201-7 x -17175743-13 x -9248477-29 x -4145869-91 x -1321211-203 x -592267-377 x -318913-841 x -142961-1571 x -76531-2639 x -45559-5887 x -20423-10933 x -10997


How do I find the factor combinations of the number 120,230,201?

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 120,230,201, 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.

1 120,230,201
-1 -120,230,201

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 120,230,201.

Example:
1 x 120,230,201 = 120,230,201
and
-1 x -120,230,201 = 120,230,201
Notice both answers equal 120,230,201

With that explanation out of the way, let's continue. Next, we take the number 120,230,201 and divide it by 2:

120,230,201 ÷ 2 = 60,115,100.5

If the quotient is a whole number, then 2 and 60,115,100.5 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:

1 120,230,201
-1 -120,230,201

Now, we try dividing 120,230,201 by 3:

120,230,201 ÷ 3 = 40,076,733.6667

If the quotient is a whole number, then 3 and 40,076,733.6667 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:

1 120,230,201
-1 -120,230,201

Let's try dividing by 4:

120,230,201 ÷ 4 = 30,057,550.25

If the quotient is a whole number, then 4 and 30,057,550.25 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:

1 120,230,201
-1 120,230,201
Keep dividing by the next highest number until you cannot divide anymore.

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

171329912033778411,5712,6395,88710,93310,99720,42345,55976,531142,961318,913592,2671,321,2114,145,8699,248,47717,175,743120,230,201
-1-7-13-29-91-203-377-841-1,571-2,639-5,887-10,933-10,997-20,423-45,559-76,531-142,961-318,913-592,267-1,321,211-4,145,869-9,248,477-17,175,743-120,230,201

More Examples

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