Q: What are the factor combinations of the number 35,828,605?

 A:
Positive:   1 x 358286055 x 716572117 x 210756585 x 421513127 x 282115635 x 564232159 x 165953319 x 10795
Negative: -1 x -35828605-5 x -7165721-17 x -2107565-85 x -421513-127 x -282115-635 x -56423-2159 x -16595-3319 x -10795


How do I find the factor combinations of the number 35,828,605?

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 35,828,605, 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 35,828,605
-1 -35,828,605

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 35,828,605.

Example:
1 x 35,828,605 = 35,828,605
and
-1 x -35,828,605 = 35,828,605
Notice both answers equal 35,828,605

With that explanation out of the way, let's continue. Next, we take the number 35,828,605 and divide it by 2:

35,828,605 ÷ 2 = 17,914,302.5

If the quotient is a whole number, then 2 and 17,914,302.5 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 35,828,605
-1 -35,828,605

Now, we try dividing 35,828,605 by 3:

35,828,605 ÷ 3 = 11,942,868.3333

If the quotient is a whole number, then 3 and 11,942,868.3333 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 35,828,605
-1 -35,828,605

Let's try dividing by 4:

35,828,605 ÷ 4 = 8,957,151.25

If the quotient is a whole number, then 4 and 8,957,151.25 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 35,828,605
-1 35,828,605
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851276352,1593,31910,79516,59556,423282,115421,5132,107,5657,165,72135,828,605
-1-5-17-85-127-635-2,159-3,319-10,795-16,595-56,423-282,115-421,513-2,107,565-7,165,721-35,828,605

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 35,828,605:


Ask a Question