Q: What are the factor combinations of the number 155,012,443?

 A:
Positive:   1 x 15501244317 x 9118379199 x 7789573383 x 45821
Negative: -1 x -155012443-17 x -9118379-199 x -778957-3383 x -45821


How do I find the factor combinations of the number 155,012,443?

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 155,012,443, 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.

1 155,012,443
-1 -155,012,443

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 155,012,443.

Example:
1 x 155,012,443 = 155,012,443
and
-1 x -155,012,443 = 155,012,443
Notice both answers equal 155,012,443

With that explanation out of the way, let's continue. Next, we take the number 155,012,443 and divide it by 2:

155,012,443 ÷ 2 = 77,506,221.5

If the quotient is a whole number, then 2 and 77,506,221.5 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:

1 155,012,443
-1 -155,012,443

Now, we try dividing 155,012,443 by 3:

155,012,443 ÷ 3 = 51,670,814.3333

If the quotient is a whole number, then 3 and 51,670,814.3333 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:

1 155,012,443
-1 -155,012,443

Let's try dividing by 4:

155,012,443 ÷ 4 = 38,753,110.75

If the quotient is a whole number, then 4 and 38,753,110.75 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:

1 155,012,443
-1 155,012,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1171993,38345,821778,9579,118,379155,012,443
-1-17-199-3,383-45,821-778,957-9,118,379-155,012,443

More Examples

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