Q: What are the factor combinations of the number 267,015,151?

 A:
Positive:   1 x 26701515113 x 2053962719 x 1405342929 x 9207419247 x 1081033377 x 708263551 x 4846017163 x 37277
Negative: -1 x -267015151-13 x -20539627-19 x -14053429-29 x -9207419-247 x -1081033-377 x -708263-551 x -484601-7163 x -37277


How do I find the factor combinations of the number 267,015,151?

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 267,015,151, 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.

1 267,015,151
-1 -267,015,151

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 267,015,151.

Example:
1 x 267,015,151 = 267,015,151
and
-1 x -267,015,151 = 267,015,151
Notice both answers equal 267,015,151

With that explanation out of the way, let's continue. Next, we take the number 267,015,151 and divide it by 2:

267,015,151 ÷ 2 = 133,507,575.5

If the quotient is a whole number, then 2 and 133,507,575.5 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:

1 267,015,151
-1 -267,015,151

Now, we try dividing 267,015,151 by 3:

267,015,151 ÷ 3 = 89,005,050.3333

If the quotient is a whole number, then 3 and 89,005,050.3333 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:

1 267,015,151
-1 -267,015,151

Let's try dividing by 4:

267,015,151 ÷ 4 = 66,753,787.75

If the quotient is a whole number, then 4 and 66,753,787.75 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:

1 267,015,151
-1 267,015,151
Keep dividing by the next highest number until you cannot divide anymore.

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

11319292473775517,16337,277484,601708,2631,081,0339,207,41914,053,42920,539,627267,015,151
-1-13-19-29-247-377-551-7,163-37,277-484,601-708,263-1,081,033-9,207,419-14,053,429-20,539,627-267,015,151

More Examples

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