Q: What are the factor combinations of the number 104,304,221?

 A:
Positive:   1 x 1043042217 x 1490060337 x 2819033257 x 405853259 x 4027191567 x 665631799 x 579799509 x 10969
Negative: -1 x -104304221-7 x -14900603-37 x -2819033-257 x -405853-259 x -402719-1567 x -66563-1799 x -57979-9509 x -10969


How do I find the factor combinations of the number 104,304,221?

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 104,304,221, 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.

1 104,304,221
-1 -104,304,221

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 104,304,221.

Example:
1 x 104,304,221 = 104,304,221
and
-1 x -104,304,221 = 104,304,221
Notice both answers equal 104,304,221

With that explanation out of the way, let's continue. Next, we take the number 104,304,221 and divide it by 2:

104,304,221 ÷ 2 = 52,152,110.5

If the quotient is a whole number, then 2 and 52,152,110.5 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:

1 104,304,221
-1 -104,304,221

Now, we try dividing 104,304,221 by 3:

104,304,221 ÷ 3 = 34,768,073.6667

If the quotient is a whole number, then 3 and 34,768,073.6667 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:

1 104,304,221
-1 -104,304,221

Let's try dividing by 4:

104,304,221 ÷ 4 = 26,076,055.25

If the quotient is a whole number, then 4 and 26,076,055.25 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:

1 104,304,221
-1 104,304,221
Keep dividing by the next highest number until you cannot divide anymore.

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

17372572591,5671,7999,50910,96957,97966,563402,719405,8532,819,03314,900,603104,304,221
-1-7-37-257-259-1,567-1,799-9,509-10,969-57,979-66,563-402,719-405,853-2,819,033-14,900,603-104,304,221

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 104,304,221:


Ask a Question