Q: What are the factor combinations of the number 133,506,505?

 A:
Positive:   1 x 1335065055 x 2670130111 x 1213695555 x 2427391181 x 737605905 x 1475211991 x 670559955 x 13411
Negative: -1 x -133506505-5 x -26701301-11 x -12136955-55 x -2427391-181 x -737605-905 x -147521-1991 x -67055-9955 x -13411


How do I find the factor combinations of the number 133,506,505?

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 133,506,505, 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.

1 133,506,505
-1 -133,506,505

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 133,506,505.

Example:
1 x 133,506,505 = 133,506,505
and
-1 x -133,506,505 = 133,506,505
Notice both answers equal 133,506,505

With that explanation out of the way, let's continue. Next, we take the number 133,506,505 and divide it by 2:

133,506,505 ÷ 2 = 66,753,252.5

If the quotient is a whole number, then 2 and 66,753,252.5 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:

1 133,506,505
-1 -133,506,505

Now, we try dividing 133,506,505 by 3:

133,506,505 ÷ 3 = 44,502,168.3333

If the quotient is a whole number, then 3 and 44,502,168.3333 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:

1 133,506,505
-1 -133,506,505

Let's try dividing by 4:

133,506,505 ÷ 4 = 33,376,626.25

If the quotient is a whole number, then 4 and 33,376,626.25 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:

1 133,506,505
-1 133,506,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551819051,9919,95513,41167,055147,521737,6052,427,39112,136,95526,701,301133,506,505
-1-5-11-55-181-905-1,991-9,955-13,411-67,055-147,521-737,605-2,427,391-12,136,955-26,701,301-133,506,505

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 133,506,505:


Ask a Question