Q: What are the factor combinations of the number 155,462,255?

 A:
Positive:   1 x 1554622555 x 3109245113 x 1195863565 x 2391727169 x 919895845 x 183979
Negative: -1 x -155462255-5 x -31092451-13 x -11958635-65 x -2391727-169 x -919895-845 x -183979


How do I find the factor combinations of the number 155,462,255?

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 155,462,255, 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.

1 155,462,255
-1 -155,462,255

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 155,462,255.

Example:
1 x 155,462,255 = 155,462,255
and
-1 x -155,462,255 = 155,462,255
Notice both answers equal 155,462,255

With that explanation out of the way, let's continue. Next, we take the number 155,462,255 and divide it by 2:

155,462,255 ÷ 2 = 77,731,127.5

If the quotient is a whole number, then 2 and 77,731,127.5 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:

1 155,462,255
-1 -155,462,255

Now, we try dividing 155,462,255 by 3:

155,462,255 ÷ 3 = 51,820,751.6667

If the quotient is a whole number, then 3 and 51,820,751.6667 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:

1 155,462,255
-1 -155,462,255

Let's try dividing by 4:

155,462,255 ÷ 4 = 38,865,563.75

If the quotient is a whole number, then 4 and 38,865,563.75 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:

1 155,462,255
-1 155,462,255
Keep dividing by the next highest number until you cannot divide anymore.

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

151365169845183,979919,8952,391,72711,958,63531,092,451155,462,255
-1-5-13-65-169-845-183,979-919,895-2,391,727-11,958,635-31,092,451-155,462,255

More Examples

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