Q: What are the factor combinations of the number 29,635,615?

 A:
Positive:   1 x 296356155 x 592712323 x 128850547 x 630545115 x 257701235 x 1261091081 x 274155405 x 5483
Negative: -1 x -29635615-5 x -5927123-23 x -1288505-47 x -630545-115 x -257701-235 x -126109-1081 x -27415-5405 x -5483


How do I find the factor combinations of the number 29,635,615?

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 29,635,615, 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 29,635,615
-1 -29,635,615

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 29,635,615.

Example:
1 x 29,635,615 = 29,635,615
and
-1 x -29,635,615 = 29,635,615
Notice both answers equal 29,635,615

With that explanation out of the way, let's continue. Next, we take the number 29,635,615 and divide it by 2:

29,635,615 ÷ 2 = 14,817,807.5

If the quotient is a whole number, then 2 and 14,817,807.5 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 29,635,615
-1 -29,635,615

Now, we try dividing 29,635,615 by 3:

29,635,615 ÷ 3 = 9,878,538.3333

If the quotient is a whole number, then 3 and 9,878,538.3333 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 29,635,615
-1 -29,635,615

Let's try dividing by 4:

29,635,615 ÷ 4 = 7,408,903.75

If the quotient is a whole number, then 4 and 7,408,903.75 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 29,635,615
-1 29,635,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1523471152351,0815,4055,48327,415126,109257,701630,5451,288,5055,927,12329,635,615
-1-5-23-47-115-235-1,081-5,405-5,483-27,415-126,109-257,701-630,545-1,288,505-5,927,123-29,635,615

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 29,635,615:


Ask a Question