Q: What are the factor combinations of the number 155,340,629?

 A:
Positive:   1 x 1553406299011 x 17239
Negative: -1 x -155340629-9011 x -17239


How do I find the factor combinations of the number 155,340,629?

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 155,340,629, 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.

1 155,340,629
-1 -155,340,629

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 155,340,629.

Example:
1 x 155,340,629 = 155,340,629
and
-1 x -155,340,629 = 155,340,629
Notice both answers equal 155,340,629

With that explanation out of the way, let's continue. Next, we take the number 155,340,629 and divide it by 2:

155,340,629 ÷ 2 = 77,670,314.5

If the quotient is a whole number, then 2 and 77,670,314.5 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:

1 155,340,629
-1 -155,340,629

Now, we try dividing 155,340,629 by 3:

155,340,629 ÷ 3 = 51,780,209.6667

If the quotient is a whole number, then 3 and 51,780,209.6667 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:

1 155,340,629
-1 -155,340,629

Let's try dividing by 4:

155,340,629 ÷ 4 = 38,835,157.25

If the quotient is a whole number, then 4 and 38,835,157.25 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:

1 155,340,629
-1 155,340,629
Keep dividing by the next highest number until you cannot divide anymore.

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

19,01117,239155,340,629
-1-9,011-17,239-155,340,629

More Examples

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