Q: What are the factor combinations of the number 83,474,345?

 A:
Positive:   1 x 834743455 x 1669486971 x 117569583 x 1005715355 x 235139415 x 2011432833 x 294655893 x 14165
Negative: -1 x -83474345-5 x -16694869-71 x -1175695-83 x -1005715-355 x -235139-415 x -201143-2833 x -29465-5893 x -14165


How do I find the factor combinations of the number 83,474,345?

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 83,474,345, 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 83,474,345
-1 -83,474,345

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 83,474,345.

Example:
1 x 83,474,345 = 83,474,345
and
-1 x -83,474,345 = 83,474,345
Notice both answers equal 83,474,345

With that explanation out of the way, let's continue. Next, we take the number 83,474,345 and divide it by 2:

83,474,345 ÷ 2 = 41,737,172.5

If the quotient is a whole number, then 2 and 41,737,172.5 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 83,474,345
-1 -83,474,345

Now, we try dividing 83,474,345 by 3:

83,474,345 ÷ 3 = 27,824,781.6667

If the quotient is a whole number, then 3 and 27,824,781.6667 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 83,474,345
-1 -83,474,345

Let's try dividing by 4:

83,474,345 ÷ 4 = 20,868,586.25

If the quotient is a whole number, then 4 and 20,868,586.25 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 83,474,345
-1 83,474,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1571833554152,8335,89314,16529,465201,143235,1391,005,7151,175,69516,694,86983,474,345
-1-5-71-83-355-415-2,833-5,893-14,165-29,465-201,143-235,139-1,005,715-1,175,695-16,694,869-83,474,345

More Examples

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