Q: What are the factor combinations of the number 1,020,613?

 A:
Positive:   1 x 102061311 x 9278331 x 3292341 x 2489373 x 13981341 x 2993451 x 2263803 x 1271
Negative: -1 x -1020613-11 x -92783-31 x -32923-41 x -24893-73 x -13981-341 x -2993-451 x -2263-803 x -1271


How do I find the factor combinations of the number 1,020,613?

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 1,020,613, 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 1,020,613
-1 -1,020,613

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 1,020,613.

Example:
1 x 1,020,613 = 1,020,613
and
-1 x -1,020,613 = 1,020,613
Notice both answers equal 1,020,613

With that explanation out of the way, let's continue. Next, we take the number 1,020,613 and divide it by 2:

1,020,613 ÷ 2 = 510,306.5

If the quotient is a whole number, then 2 and 510,306.5 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 1,020,613
-1 -1,020,613

Now, we try dividing 1,020,613 by 3:

1,020,613 ÷ 3 = 340,204.3333

If the quotient is a whole number, then 3 and 340,204.3333 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 1,020,613
-1 -1,020,613

Let's try dividing by 4:

1,020,613 ÷ 4 = 255,153.25

If the quotient is a whole number, then 4 and 255,153.25 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 1,020,613
-1 1,020,613
Keep dividing by the next highest number until you cannot divide anymore.

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

1113141733414518031,2712,2632,99313,98124,89332,92392,7831,020,613
-1-11-31-41-73-341-451-803-1,271-2,263-2,993-13,981-24,893-32,923-92,783-1,020,613

More Examples

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