Q: What are the factor combinations of the number 4,501,355?

 A:
Positive:   1 x 45013555 x 90027131 x 145205113 x 39835155 x 29041257 x 17515565 x 79671285 x 3503
Negative: -1 x -4501355-5 x -900271-31 x -145205-113 x -39835-155 x -29041-257 x -17515-565 x -7967-1285 x -3503


How do I find the factor combinations of the number 4,501,355?

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 4,501,355, 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 4,501,355
-1 -4,501,355

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 4,501,355.

Example:
1 x 4,501,355 = 4,501,355
and
-1 x -4,501,355 = 4,501,355
Notice both answers equal 4,501,355

With that explanation out of the way, let's continue. Next, we take the number 4,501,355 and divide it by 2:

4,501,355 ÷ 2 = 2,250,677.5

If the quotient is a whole number, then 2 and 2,250,677.5 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 4,501,355
-1 -4,501,355

Now, we try dividing 4,501,355 by 3:

4,501,355 ÷ 3 = 1,500,451.6667

If the quotient is a whole number, then 3 and 1,500,451.6667 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 4,501,355
-1 -4,501,355

Let's try dividing by 4:

4,501,355 ÷ 4 = 1,125,338.75

If the quotient is a whole number, then 4 and 1,125,338.75 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 4,501,355
-1 4,501,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15311131552575651,2853,5037,96717,51529,04139,835145,205900,2714,501,355
-1-5-31-113-155-257-565-1,285-3,503-7,967-17,515-29,041-39,835-145,205-900,271-4,501,355

More Examples

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