Q: What are the factor combinations of the number 6,024,205?

 A:
Positive:   1 x 60242055 x 120484111 x 54765517 x 35436555 x 10953185 x 70873187 x 32215289 x 20845379 x 15895935 x 64431445 x 41691895 x 3179
Negative: -1 x -6024205-5 x -1204841-11 x -547655-17 x -354365-55 x -109531-85 x -70873-187 x -32215-289 x -20845-379 x -15895-935 x -6443-1445 x -4169-1895 x -3179


How do I find the factor combinations of the number 6,024,205?

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 6,024,205, 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 6,024,205
-1 -6,024,205

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 6,024,205.

Example:
1 x 6,024,205 = 6,024,205
and
-1 x -6,024,205 = 6,024,205
Notice both answers equal 6,024,205

With that explanation out of the way, let's continue. Next, we take the number 6,024,205 and divide it by 2:

6,024,205 ÷ 2 = 3,012,102.5

If the quotient is a whole number, then 2 and 3,012,102.5 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 6,024,205
-1 -6,024,205

Now, we try dividing 6,024,205 by 3:

6,024,205 ÷ 3 = 2,008,068.3333

If the quotient is a whole number, then 3 and 2,008,068.3333 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 6,024,205
-1 -6,024,205

Let's try dividing by 4:

6,024,205 ÷ 4 = 1,506,051.25

If the quotient is a whole number, then 4 and 1,506,051.25 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 6,024,205
-1 6,024,205
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851872893799351,4451,8953,1794,1696,44315,89520,84532,21570,873109,531354,365547,6551,204,8416,024,205
-1-5-11-17-55-85-187-289-379-935-1,445-1,895-3,179-4,169-6,443-15,895-20,845-32,215-70,873-109,531-354,365-547,655-1,204,841-6,024,205

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