Q: What are the factor combinations of the number 121,474,615?

 A:
Positive:   1 x 1214746155 x 2429492323 x 5281505115 x 1056301839 x 1447851259 x 964854195 x 289576295 x 19297
Negative: -1 x -121474615-5 x -24294923-23 x -5281505-115 x -1056301-839 x -144785-1259 x -96485-4195 x -28957-6295 x -19297


How do I find the factor combinations of the number 121,474,615?

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 121,474,615, 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.

1 121,474,615
-1 -121,474,615

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 121,474,615.

Example:
1 x 121,474,615 = 121,474,615
and
-1 x -121,474,615 = 121,474,615
Notice both answers equal 121,474,615

With that explanation out of the way, let's continue. Next, we take the number 121,474,615 and divide it by 2:

121,474,615 ÷ 2 = 60,737,307.5

If the quotient is a whole number, then 2 and 60,737,307.5 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:

1 121,474,615
-1 -121,474,615

Now, we try dividing 121,474,615 by 3:

121,474,615 ÷ 3 = 40,491,538.3333

If the quotient is a whole number, then 3 and 40,491,538.3333 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:

1 121,474,615
-1 -121,474,615

Let's try dividing by 4:

121,474,615 ÷ 4 = 30,368,653.75

If the quotient is a whole number, then 4 and 30,368,653.75 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:

1 121,474,615
-1 121,474,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15231158391,2594,1956,29519,29728,95796,485144,7851,056,3015,281,50524,294,923121,474,615
-1-5-23-115-839-1,259-4,195-6,295-19,297-28,957-96,485-144,785-1,056,301-5,281,505-24,294,923-121,474,615

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 121,474,615:


Ask a Question