Q: What are the factor combinations of the number 153,430,655?

 A:
Positive:   1 x 1534306555 x 306861317 x 2191866535 x 4383733
Negative: -1 x -153430655-5 x -30686131-7 x -21918665-35 x -4383733


How do I find the factor combinations of the number 153,430,655?

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 153,430,655, 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.

1 153,430,655
-1 -153,430,655

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 153,430,655.

Example:
1 x 153,430,655 = 153,430,655
and
-1 x -153,430,655 = 153,430,655
Notice both answers equal 153,430,655

With that explanation out of the way, let's continue. Next, we take the number 153,430,655 and divide it by 2:

153,430,655 ÷ 2 = 76,715,327.5

If the quotient is a whole number, then 2 and 76,715,327.5 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:

1 153,430,655
-1 -153,430,655

Now, we try dividing 153,430,655 by 3:

153,430,655 ÷ 3 = 51,143,551.6667

If the quotient is a whole number, then 3 and 51,143,551.6667 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:

1 153,430,655
-1 -153,430,655

Let's try dividing by 4:

153,430,655 ÷ 4 = 38,357,663.75

If the quotient is a whole number, then 4 and 38,357,663.75 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:

1 153,430,655
-1 153,430,655
Keep dividing by the next highest number until you cannot divide anymore.

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

157354,383,73321,918,66530,686,131153,430,655
-1-5-7-35-4,383,733-21,918,665-30,686,131-153,430,655

More Examples

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