Q: What are the factor combinations of the number 35,424,668?

 A:
Positive:   1 x 354246682 x 177123344 x 885616717 x 208380434 x 104190268 x 520951491 x 72148982 x 360741061 x 333881964 x 180372122 x 166944244 x 8347
Negative: -1 x -35424668-2 x -17712334-4 x -8856167-17 x -2083804-34 x -1041902-68 x -520951-491 x -72148-982 x -36074-1061 x -33388-1964 x -18037-2122 x -16694-4244 x -8347


How do I find the factor combinations of the number 35,424,668?

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 35,424,668, 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 35,424,668
-1 -35,424,668

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 35,424,668.

Example:
1 x 35,424,668 = 35,424,668
and
-1 x -35,424,668 = 35,424,668
Notice both answers equal 35,424,668

With that explanation out of the way, let's continue. Next, we take the number 35,424,668 and divide it by 2:

35,424,668 ÷ 2 = 17,712,334

If the quotient is a whole number, then 2 and 17,712,334 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 17,712,334 35,424,668
-1 -2 -17,712,334 -35,424,668

Now, we try dividing 35,424,668 by 3:

35,424,668 ÷ 3 = 11,808,222.6667

If the quotient is a whole number, then 3 and 11,808,222.6667 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 2 17,712,334 35,424,668
-1 -2 -17,712,334 -35,424,668

Let's try dividing by 4:

35,424,668 ÷ 4 = 8,856,167

If the quotient is a whole number, then 4 and 8,856,167 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 8,856,167 17,712,334 35,424,668
-1 -2 -4 -8,856,167 -17,712,334 35,424,668
Keep dividing by the next highest number until you cannot divide anymore.

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

1241734684919821,0611,9642,1224,2448,34716,69418,03733,38836,07472,148520,9511,041,9022,083,8048,856,16717,712,33435,424,668
-1-2-4-17-34-68-491-982-1,061-1,964-2,122-4,244-8,347-16,694-18,037-33,388-36,074-72,148-520,951-1,041,902-2,083,804-8,856,167-17,712,334-35,424,668

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 35,424,668:


Ask a Question