Q: What are the factor combinations of the number 135,512,455?

 A:
Positive:   1 x 1355124555 x 2710249113 x 1042403565 x 208480773 x 1856335365 x 371267949 x 1427954745 x 28559
Negative: -1 x -135512455-5 x -27102491-13 x -10424035-65 x -2084807-73 x -1856335-365 x -371267-949 x -142795-4745 x -28559


How do I find the factor combinations of the number 135,512,455?

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 135,512,455, 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.

1 135,512,455
-1 -135,512,455

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 135,512,455.

Example:
1 x 135,512,455 = 135,512,455
and
-1 x -135,512,455 = 135,512,455
Notice both answers equal 135,512,455

With that explanation out of the way, let's continue. Next, we take the number 135,512,455 and divide it by 2:

135,512,455 ÷ 2 = 67,756,227.5

If the quotient is a whole number, then 2 and 67,756,227.5 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:

1 135,512,455
-1 -135,512,455

Now, we try dividing 135,512,455 by 3:

135,512,455 ÷ 3 = 45,170,818.3333

If the quotient is a whole number, then 3 and 45,170,818.3333 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:

1 135,512,455
-1 -135,512,455

Let's try dividing by 4:

135,512,455 ÷ 4 = 33,878,113.75

If the quotient is a whole number, then 4 and 33,878,113.75 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:

1 135,512,455
-1 135,512,455
Keep dividing by the next highest number until you cannot divide anymore.

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

151365733659494,74528,559142,795371,2671,856,3352,084,80710,424,03527,102,491135,512,455
-1-5-13-65-73-365-949-4,745-28,559-142,795-371,267-1,856,335-2,084,807-10,424,035-27,102,491-135,512,455

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