Q: What are the factor combinations of the number 122,018,117?

 A:
Positive:   1 x 12201811713 x 938600961 x 2000297151 x 808067793 x 1538691019 x 1197431963 x 621599211 x 13247
Negative: -1 x -122018117-13 x -9386009-61 x -2000297-151 x -808067-793 x -153869-1019 x -119743-1963 x -62159-9211 x -13247


How do I find the factor combinations of the number 122,018,117?

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 122,018,117, 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.

1 122,018,117
-1 -122,018,117

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 122,018,117.

Example:
1 x 122,018,117 = 122,018,117
and
-1 x -122,018,117 = 122,018,117
Notice both answers equal 122,018,117

With that explanation out of the way, let's continue. Next, we take the number 122,018,117 and divide it by 2:

122,018,117 ÷ 2 = 61,009,058.5

If the quotient is a whole number, then 2 and 61,009,058.5 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:

1 122,018,117
-1 -122,018,117

Now, we try dividing 122,018,117 by 3:

122,018,117 ÷ 3 = 40,672,705.6667

If the quotient is a whole number, then 3 and 40,672,705.6667 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:

1 122,018,117
-1 -122,018,117

Let's try dividing by 4:

122,018,117 ÷ 4 = 30,504,529.25

If the quotient is a whole number, then 4 and 30,504,529.25 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:

1 122,018,117
-1 122,018,117
Keep dividing by the next highest number until you cannot divide anymore.

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

113611517931,0191,9639,21113,24762,159119,743153,869808,0672,000,2979,386,009122,018,117
-1-13-61-151-793-1,019-1,963-9,211-13,247-62,159-119,743-153,869-808,067-2,000,297-9,386,009-122,018,117

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 122,018,117:


Ask a Question