Q: What are the factor combinations of the number 45,238,427?

 A:
Positive:   1 x 4523842713 x 347987959 x 766753169 x 267683349 x 129623767 x 589812197 x 205914537 x 9971
Negative: -1 x -45238427-13 x -3479879-59 x -766753-169 x -267683-349 x -129623-767 x -58981-2197 x -20591-4537 x -9971


How do I find the factor combinations of the number 45,238,427?

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 45,238,427, 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 45,238,427
-1 -45,238,427

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 45,238,427.

Example:
1 x 45,238,427 = 45,238,427
and
-1 x -45,238,427 = 45,238,427
Notice both answers equal 45,238,427

With that explanation out of the way, let's continue. Next, we take the number 45,238,427 and divide it by 2:

45,238,427 ÷ 2 = 22,619,213.5

If the quotient is a whole number, then 2 and 22,619,213.5 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 45,238,427
-1 -45,238,427

Now, we try dividing 45,238,427 by 3:

45,238,427 ÷ 3 = 15,079,475.6667

If the quotient is a whole number, then 3 and 15,079,475.6667 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 45,238,427
-1 -45,238,427

Let's try dividing by 4:

45,238,427 ÷ 4 = 11,309,606.75

If the quotient is a whole number, then 4 and 11,309,606.75 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 45,238,427
-1 45,238,427
Keep dividing by the next highest number until you cannot divide anymore.

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

113591693497672,1974,5379,97120,59158,981129,623267,683766,7533,479,87945,238,427
-1-13-59-169-349-767-2,197-4,537-9,971-20,591-58,981-129,623-267,683-766,753-3,479,879-45,238,427

More Examples

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