Q: What are the factor combinations of the number 155,767,343?

 A:
Positive:   1 x 15576734331 x 502475361 x 25535631891 x 82373
Negative: -1 x -155767343-31 x -5024753-61 x -2553563-1891 x -82373


How do I find the factor combinations of the number 155,767,343?

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 155,767,343, 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.

1 155,767,343
-1 -155,767,343

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 155,767,343.

Example:
1 x 155,767,343 = 155,767,343
and
-1 x -155,767,343 = 155,767,343
Notice both answers equal 155,767,343

With that explanation out of the way, let's continue. Next, we take the number 155,767,343 and divide it by 2:

155,767,343 ÷ 2 = 77,883,671.5

If the quotient is a whole number, then 2 and 77,883,671.5 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:

1 155,767,343
-1 -155,767,343

Now, we try dividing 155,767,343 by 3:

155,767,343 ÷ 3 = 51,922,447.6667

If the quotient is a whole number, then 3 and 51,922,447.6667 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:

1 155,767,343
-1 -155,767,343

Let's try dividing by 4:

155,767,343 ÷ 4 = 38,941,835.75

If the quotient is a whole number, then 4 and 38,941,835.75 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:

1 155,767,343
-1 155,767,343
Keep dividing by the next highest number until you cannot divide anymore.

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

131611,89182,3732,553,5635,024,753155,767,343
-1-31-61-1,891-82,373-2,553,563-5,024,753-155,767,343

More Examples

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