Q: What are the factor combinations of the number 69,018,703?

 A:
Positive:   1 x 6901870313 x 530913141 x 1683383533 x 129491
Negative: -1 x -69018703-13 x -5309131-41 x -1683383-533 x -129491


How do I find the factor combinations of the number 69,018,703?

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 69,018,703, 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 69,018,703
-1 -69,018,703

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 69,018,703.

Example:
1 x 69,018,703 = 69,018,703
and
-1 x -69,018,703 = 69,018,703
Notice both answers equal 69,018,703

With that explanation out of the way, let's continue. Next, we take the number 69,018,703 and divide it by 2:

69,018,703 ÷ 2 = 34,509,351.5

If the quotient is a whole number, then 2 and 34,509,351.5 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 69,018,703
-1 -69,018,703

Now, we try dividing 69,018,703 by 3:

69,018,703 ÷ 3 = 23,006,234.3333

If the quotient is a whole number, then 3 and 23,006,234.3333 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 69,018,703
-1 -69,018,703

Let's try dividing by 4:

69,018,703 ÷ 4 = 17,254,675.75

If the quotient is a whole number, then 4 and 17,254,675.75 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 69,018,703
-1 69,018,703
Keep dividing by the next highest number until you cannot divide anymore.

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

11341533129,4911,683,3835,309,13169,018,703
-1-13-41-533-129,491-1,683,383-5,309,131-69,018,703

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 69,018,703:


Ask a Question