Q: What are the factor combinations of the number 267,257,107?

 A:
Positive:   1 x 26725710713 x 2055823931 x 8621197139 x 1922713169 x 1581403367 x 728221403 x 6631691807 x 1479014309 x 620234771 x 560175239 x 5101311377 x 23491
Negative: -1 x -267257107-13 x -20558239-31 x -8621197-139 x -1922713-169 x -1581403-367 x -728221-403 x -663169-1807 x -147901-4309 x -62023-4771 x -56017-5239 x -51013-11377 x -23491


How do I find the factor combinations of the number 267,257,107?

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 267,257,107, 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.

1 267,257,107
-1 -267,257,107

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 267,257,107.

Example:
1 x 267,257,107 = 267,257,107
and
-1 x -267,257,107 = 267,257,107
Notice both answers equal 267,257,107

With that explanation out of the way, let's continue. Next, we take the number 267,257,107 and divide it by 2:

267,257,107 ÷ 2 = 133,628,553.5

If the quotient is a whole number, then 2 and 133,628,553.5 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:

1 267,257,107
-1 -267,257,107

Now, we try dividing 267,257,107 by 3:

267,257,107 ÷ 3 = 89,085,702.3333

If the quotient is a whole number, then 3 and 89,085,702.3333 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:

1 267,257,107
-1 -267,257,107

Let's try dividing by 4:

267,257,107 ÷ 4 = 66,814,276.75

If the quotient is a whole number, then 4 and 66,814,276.75 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:

1 267,257,107
-1 267,257,107
Keep dividing by the next highest number until you cannot divide anymore.

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

113311391693674031,8074,3094,7715,23911,37723,49151,01356,01762,023147,901663,169728,2211,581,4031,922,7138,621,19720,558,239267,257,107
-1-13-31-139-169-367-403-1,807-4,309-4,771-5,239-11,377-23,491-51,013-56,017-62,023-147,901-663,169-728,221-1,581,403-1,922,713-8,621,197-20,558,239-267,257,107

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 267,257,107:


Ask a Question