Q: What are the factor combinations of the number 4,420,445?

 A:
Positive:   1 x 44204455 x 88408919 x 23265531 x 14259579 x 5595595 x 46531155 x 28519361 x 12245395 x 11191589 x 75051501 x 29451805 x 2449
Negative: -1 x -4420445-5 x -884089-19 x -232655-31 x -142595-79 x -55955-95 x -46531-155 x -28519-361 x -12245-395 x -11191-589 x -7505-1501 x -2945-1805 x -2449


How do I find the factor combinations of the number 4,420,445?

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 4,420,445, 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 4,420,445
-1 -4,420,445

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 4,420,445.

Example:
1 x 4,420,445 = 4,420,445
and
-1 x -4,420,445 = 4,420,445
Notice both answers equal 4,420,445

With that explanation out of the way, let's continue. Next, we take the number 4,420,445 and divide it by 2:

4,420,445 ÷ 2 = 2,210,222.5

If the quotient is a whole number, then 2 and 2,210,222.5 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 4,420,445
-1 -4,420,445

Now, we try dividing 4,420,445 by 3:

4,420,445 ÷ 3 = 1,473,481.6667

If the quotient is a whole number, then 3 and 1,473,481.6667 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 4,420,445
-1 -4,420,445

Let's try dividing by 4:

4,420,445 ÷ 4 = 1,105,111.25

If the quotient is a whole number, then 4 and 1,105,111.25 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 4,420,445
-1 4,420,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15193179951553613955891,5011,8052,4492,9457,50511,19112,24528,51946,53155,955142,595232,655884,0894,420,445
-1-5-19-31-79-95-155-361-395-589-1,501-1,805-2,449-2,945-7,505-11,191-12,245-28,519-46,531-55,955-142,595-232,655-884,089-4,420,445

More Examples

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