Q: What are the factor combinations of the number 221,450,047?

 A:
Positive:   1 x 2214500477 x 3163572113 x 1703461991 x 2433517283 x 7825091981 x 1117873679 x 601938599 x 25753
Negative: -1 x -221450047-7 x -31635721-13 x -17034619-91 x -2433517-283 x -782509-1981 x -111787-3679 x -60193-8599 x -25753


How do I find the factor combinations of the number 221,450,047?

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 221,450,047, 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.

1 221,450,047
-1 -221,450,047

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 221,450,047.

Example:
1 x 221,450,047 = 221,450,047
and
-1 x -221,450,047 = 221,450,047
Notice both answers equal 221,450,047

With that explanation out of the way, let's continue. Next, we take the number 221,450,047 and divide it by 2:

221,450,047 ÷ 2 = 110,725,023.5

If the quotient is a whole number, then 2 and 110,725,023.5 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:

1 221,450,047
-1 -221,450,047

Now, we try dividing 221,450,047 by 3:

221,450,047 ÷ 3 = 73,816,682.3333

If the quotient is a whole number, then 3 and 73,816,682.3333 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:

1 221,450,047
-1 -221,450,047

Let's try dividing by 4:

221,450,047 ÷ 4 = 55,362,511.75

If the quotient is a whole number, then 4 and 55,362,511.75 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:

1 221,450,047
-1 221,450,047
Keep dividing by the next highest number until you cannot divide anymore.

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

1713912831,9813,6798,59925,75360,193111,787782,5092,433,51717,034,61931,635,721221,450,047
-1-7-13-91-283-1,981-3,679-8,599-25,753-60,193-111,787-782,509-2,433,517-17,034,619-31,635,721-221,450,047

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