Q: What are the factor combinations of the number 134,315,045?

 A:
Positive:   1 x 1343150455 x 2686300917 x 790088585 x 1580177
Negative: -1 x -134315045-5 x -26863009-17 x -7900885-85 x -1580177


How do I find the factor combinations of the number 134,315,045?

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 134,315,045, 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.

1 134,315,045
-1 -134,315,045

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 134,315,045.

Example:
1 x 134,315,045 = 134,315,045
and
-1 x -134,315,045 = 134,315,045
Notice both answers equal 134,315,045

With that explanation out of the way, let's continue. Next, we take the number 134,315,045 and divide it by 2:

134,315,045 ÷ 2 = 67,157,522.5

If the quotient is a whole number, then 2 and 67,157,522.5 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:

1 134,315,045
-1 -134,315,045

Now, we try dividing 134,315,045 by 3:

134,315,045 ÷ 3 = 44,771,681.6667

If the quotient is a whole number, then 3 and 44,771,681.6667 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:

1 134,315,045
-1 -134,315,045

Let's try dividing by 4:

134,315,045 ÷ 4 = 33,578,761.25

If the quotient is a whole number, then 4 and 33,578,761.25 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:

1 134,315,045
-1 134,315,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851,580,1777,900,88526,863,009134,315,045
-1-5-17-85-1,580,177-7,900,885-26,863,009-134,315,045

More Examples

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