Q: What are the factor combinations of the number 10,003,357?

 A:
Positive:   1 x 100033577 x 142905113 x 76948937 x 27036191 x 109927259 x 38623481 x 207972971 x 3367
Negative: -1 x -10003357-7 x -1429051-13 x -769489-37 x -270361-91 x -109927-259 x -38623-481 x -20797-2971 x -3367


How do I find the factor combinations of the number 10,003,357?

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 10,003,357, 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 10,003,357
-1 -10,003,357

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 10,003,357.

Example:
1 x 10,003,357 = 10,003,357
and
-1 x -10,003,357 = 10,003,357
Notice both answers equal 10,003,357

With that explanation out of the way, let's continue. Next, we take the number 10,003,357 and divide it by 2:

10,003,357 ÷ 2 = 5,001,678.5

If the quotient is a whole number, then 2 and 5,001,678.5 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 10,003,357
-1 -10,003,357

Now, we try dividing 10,003,357 by 3:

10,003,357 ÷ 3 = 3,334,452.3333

If the quotient is a whole number, then 3 and 3,334,452.3333 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 10,003,357
-1 -10,003,357

Let's try dividing by 4:

10,003,357 ÷ 4 = 2,500,839.25

If the quotient is a whole number, then 4 and 2,500,839.25 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 10,003,357
-1 10,003,357
Keep dividing by the next highest number until you cannot divide anymore.

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

171337912594812,9713,36720,79738,623109,927270,361769,4891,429,05110,003,357
-1-7-13-37-91-259-481-2,971-3,367-20,797-38,623-109,927-270,361-769,489-1,429,051-10,003,357

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 10,003,357:


Ask a Question