Q: What are the factor combinations of the number 5,355,251?

 A:
Positive:   1 x 535525111 x 48684123 x 23283761 x 87791253 x 21167347 x 15433671 x 79811403 x 3817
Negative: -1 x -5355251-11 x -486841-23 x -232837-61 x -87791-253 x -21167-347 x -15433-671 x -7981-1403 x -3817


How do I find the factor combinations of the number 5,355,251?

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 5,355,251, 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 5,355,251
-1 -5,355,251

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 5,355,251.

Example:
1 x 5,355,251 = 5,355,251
and
-1 x -5,355,251 = 5,355,251
Notice both answers equal 5,355,251

With that explanation out of the way, let's continue. Next, we take the number 5,355,251 and divide it by 2:

5,355,251 ÷ 2 = 2,677,625.5

If the quotient is a whole number, then 2 and 2,677,625.5 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 5,355,251
-1 -5,355,251

Now, we try dividing 5,355,251 by 3:

5,355,251 ÷ 3 = 1,785,083.6667

If the quotient is a whole number, then 3 and 1,785,083.6667 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 5,355,251
-1 -5,355,251

Let's try dividing by 4:

5,355,251 ÷ 4 = 1,338,812.75

If the quotient is a whole number, then 4 and 1,338,812.75 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 5,355,251
-1 5,355,251
Keep dividing by the next highest number until you cannot divide anymore.

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

11123612533476711,4033,8177,98115,43321,16787,791232,837486,8415,355,251
-1-11-23-61-253-347-671-1,403-3,817-7,981-15,433-21,167-87,791-232,837-486,841-5,355,251

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,355,251:


Ask a Question