Q: What are the factor combinations of the number 155,421,307?

 A:
Positive:   1 x 15542130743 x 361444967 x 231972173 x 2129059739 x 2103132881 x 539473139 x 495134891 x 31777
Negative: -1 x -155421307-43 x -3614449-67 x -2319721-73 x -2129059-739 x -210313-2881 x -53947-3139 x -49513-4891 x -31777


How do I find the factor combinations of the number 155,421,307?

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 155,421,307, 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.

1 155,421,307
-1 -155,421,307

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 155,421,307.

Example:
1 x 155,421,307 = 155,421,307
and
-1 x -155,421,307 = 155,421,307
Notice both answers equal 155,421,307

With that explanation out of the way, let's continue. Next, we take the number 155,421,307 and divide it by 2:

155,421,307 ÷ 2 = 77,710,653.5

If the quotient is a whole number, then 2 and 77,710,653.5 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:

1 155,421,307
-1 -155,421,307

Now, we try dividing 155,421,307 by 3:

155,421,307 ÷ 3 = 51,807,102.3333

If the quotient is a whole number, then 3 and 51,807,102.3333 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:

1 155,421,307
-1 -155,421,307

Let's try dividing by 4:

155,421,307 ÷ 4 = 38,855,326.75

If the quotient is a whole number, then 4 and 38,855,326.75 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:

1 155,421,307
-1 155,421,307
Keep dividing by the next highest number until you cannot divide anymore.

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

14367737392,8813,1394,89131,77749,51353,947210,3132,129,0592,319,7213,614,449155,421,307
-1-43-67-73-739-2,881-3,139-4,891-31,777-49,513-53,947-210,313-2,129,059-2,319,721-3,614,449-155,421,307

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