Q: What are the factor combinations of the number 277,025,179?

 A:
Positive:   1 x 27702517923 x 1204457337 x 7487167367 x 754837851 x 325529887 x 3123178441 x 3281913579 x 20401
Negative: -1 x -277025179-23 x -12044573-37 x -7487167-367 x -754837-851 x -325529-887 x -312317-8441 x -32819-13579 x -20401


How do I find the factor combinations of the number 277,025,179?

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 277,025,179, 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.

1 277,025,179
-1 -277,025,179

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 277,025,179.

Example:
1 x 277,025,179 = 277,025,179
and
-1 x -277,025,179 = 277,025,179
Notice both answers equal 277,025,179

With that explanation out of the way, let's continue. Next, we take the number 277,025,179 and divide it by 2:

277,025,179 ÷ 2 = 138,512,589.5

If the quotient is a whole number, then 2 and 138,512,589.5 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:

1 277,025,179
-1 -277,025,179

Now, we try dividing 277,025,179 by 3:

277,025,179 ÷ 3 = 92,341,726.3333

If the quotient is a whole number, then 3 and 92,341,726.3333 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:

1 277,025,179
-1 -277,025,179

Let's try dividing by 4:

277,025,179 ÷ 4 = 69,256,294.75

If the quotient is a whole number, then 4 and 69,256,294.75 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:

1 277,025,179
-1 277,025,179
Keep dividing by the next highest number until you cannot divide anymore.

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

123373678518878,44113,57920,40132,819312,317325,529754,8377,487,16712,044,573277,025,179
-1-23-37-367-851-887-8,441-13,579-20,401-32,819-312,317-325,529-754,837-7,487,167-12,044,573-277,025,179

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