Q: What are the factor combinations of the number 43,635,263?

 A:
Positive:   1 x 436352637 x 6233609163 x 267701167 x 261289229 x 1905471141 x 382431169 x 373271603 x 27221
Negative: -1 x -43635263-7 x -6233609-163 x -267701-167 x -261289-229 x -190547-1141 x -38243-1169 x -37327-1603 x -27221


How do I find the factor combinations of the number 43,635,263?

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 43,635,263, 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 43,635,263
-1 -43,635,263

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 43,635,263.

Example:
1 x 43,635,263 = 43,635,263
and
-1 x -43,635,263 = 43,635,263
Notice both answers equal 43,635,263

With that explanation out of the way, let's continue. Next, we take the number 43,635,263 and divide it by 2:

43,635,263 ÷ 2 = 21,817,631.5

If the quotient is a whole number, then 2 and 21,817,631.5 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 43,635,263
-1 -43,635,263

Now, we try dividing 43,635,263 by 3:

43,635,263 ÷ 3 = 14,545,087.6667

If the quotient is a whole number, then 3 and 14,545,087.6667 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 43,635,263
-1 -43,635,263

Let's try dividing by 4:

43,635,263 ÷ 4 = 10,908,815.75

If the quotient is a whole number, then 4 and 10,908,815.75 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 43,635,263
-1 43,635,263
Keep dividing by the next highest number until you cannot divide anymore.

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

171631672291,1411,1691,60327,22137,32738,243190,547261,289267,7016,233,60943,635,263
-1-7-163-167-229-1,141-1,169-1,603-27,221-37,327-38,243-190,547-261,289-267,701-6,233,609-43,635,263

More Examples

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