Q: What are the factor combinations of the number 442,304,345?

 A:
Positive:   1 x 4423043455 x 884608697 x 6318633535 x 1263726753 x 8345365265 x 1669073371 x 11921951855 x 238439
Negative: -1 x -442304345-5 x -88460869-7 x -63186335-35 x -12637267-53 x -8345365-265 x -1669073-371 x -1192195-1855 x -238439


How do I find the factor combinations of the number 442,304,345?

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 442,304,345, 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.

1 442,304,345
-1 -442,304,345

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 442,304,345.

Example:
1 x 442,304,345 = 442,304,345
and
-1 x -442,304,345 = 442,304,345
Notice both answers equal 442,304,345

With that explanation out of the way, let's continue. Next, we take the number 442,304,345 and divide it by 2:

442,304,345 ÷ 2 = 221,152,172.5

If the quotient is a whole number, then 2 and 221,152,172.5 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:

1 442,304,345
-1 -442,304,345

Now, we try dividing 442,304,345 by 3:

442,304,345 ÷ 3 = 147,434,781.6667

If the quotient is a whole number, then 3 and 147,434,781.6667 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:

1 442,304,345
-1 -442,304,345

Let's try dividing by 4:

442,304,345 ÷ 4 = 110,576,086.25

If the quotient is a whole number, then 4 and 110,576,086.25 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:

1 442,304,345
-1 442,304,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,855238,4391,192,1951,669,0738,345,36512,637,26763,186,33588,460,869442,304,345
-1-5-7-35-53-265-371-1,855-238,439-1,192,195-1,669,073-8,345,365-12,637,267-63,186,335-88,460,869-442,304,345

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