Q: What are the factor combinations of the number 130,303,015?

 A:
Positive:   1 x 1303030155 x 2606060361 x 2136115163 x 799405305 x 427223815 x 1598812621 x 497159943 x 13105
Negative: -1 x -130303015-5 x -26060603-61 x -2136115-163 x -799405-305 x -427223-815 x -159881-2621 x -49715-9943 x -13105


How do I find the factor combinations of the number 130,303,015?

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 130,303,015, 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.

1 130,303,015
-1 -130,303,015

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 130,303,015.

Example:
1 x 130,303,015 = 130,303,015
and
-1 x -130,303,015 = 130,303,015
Notice both answers equal 130,303,015

With that explanation out of the way, let's continue. Next, we take the number 130,303,015 and divide it by 2:

130,303,015 ÷ 2 = 65,151,507.5

If the quotient is a whole number, then 2 and 65,151,507.5 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:

1 130,303,015
-1 -130,303,015

Now, we try dividing 130,303,015 by 3:

130,303,015 ÷ 3 = 43,434,338.3333

If the quotient is a whole number, then 3 and 43,434,338.3333 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:

1 130,303,015
-1 -130,303,015

Let's try dividing by 4:

130,303,015 ÷ 4 = 32,575,753.75

If the quotient is a whole number, then 4 and 32,575,753.75 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:

1 130,303,015
-1 130,303,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15611633058152,6219,94313,10549,715159,881427,223799,4052,136,11526,060,603130,303,015
-1-5-61-163-305-815-2,621-9,943-13,105-49,715-159,881-427,223-799,405-2,136,115-26,060,603-130,303,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 130,303,015:


Ask a Question