Q: What are the factor combinations of the number 3,520,265?

 A:
Positive:   1 x 35202655 x 7040537 x 50289523 x 15305535 x 100579115 x 30611161 x 21865805 x 4373
Negative: -1 x -3520265-5 x -704053-7 x -502895-23 x -153055-35 x -100579-115 x -30611-161 x -21865-805 x -4373


How do I find the factor combinations of the number 3,520,265?

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 3,520,265, 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 3,520,265
-1 -3,520,265

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 3,520,265.

Example:
1 x 3,520,265 = 3,520,265
and
-1 x -3,520,265 = 3,520,265
Notice both answers equal 3,520,265

With that explanation out of the way, let's continue. Next, we take the number 3,520,265 and divide it by 2:

3,520,265 ÷ 2 = 1,760,132.5

If the quotient is a whole number, then 2 and 1,760,132.5 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 3,520,265
-1 -3,520,265

Now, we try dividing 3,520,265 by 3:

3,520,265 ÷ 3 = 1,173,421.6667

If the quotient is a whole number, then 3 and 1,173,421.6667 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 3,520,265
-1 -3,520,265

Let's try dividing by 4:

3,520,265 ÷ 4 = 880,066.25

If the quotient is a whole number, then 4 and 880,066.25 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 3,520,265
-1 3,520,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15723351151618054,37321,86530,611100,579153,055502,895704,0533,520,265
-1-5-7-23-35-115-161-805-4,373-21,865-30,611-100,579-153,055-502,895-704,053-3,520,265

More Examples

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