Q: What are the factor combinations of the number 2,429,455?

 A:
Positive:   1 x 24294555 x 4858917 x 34706535 x 6941341 x 59255205 x 11851287 x 84651435 x 1693
Negative: -1 x -2429455-5 x -485891-7 x -347065-35 x -69413-41 x -59255-205 x -11851-287 x -8465-1435 x -1693


How do I find the factor combinations of the number 2,429,455?

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 2,429,455, 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 2,429,455
-1 -2,429,455

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 2,429,455.

Example:
1 x 2,429,455 = 2,429,455
and
-1 x -2,429,455 = 2,429,455
Notice both answers equal 2,429,455

With that explanation out of the way, let's continue. Next, we take the number 2,429,455 and divide it by 2:

2,429,455 ÷ 2 = 1,214,727.5

If the quotient is a whole number, then 2 and 1,214,727.5 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 2,429,455
-1 -2,429,455

Now, we try dividing 2,429,455 by 3:

2,429,455 ÷ 3 = 809,818.3333

If the quotient is a whole number, then 3 and 809,818.3333 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 2,429,455
-1 -2,429,455

Let's try dividing by 4:

2,429,455 ÷ 4 = 607,363.75

If the quotient is a whole number, then 4 and 607,363.75 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 2,429,455
-1 2,429,455
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,4351,6938,46511,85159,25569,413347,065485,8912,429,455
-1-5-7-35-41-205-287-1,435-1,693-8,465-11,851-59,255-69,413-347,065-485,891-2,429,455

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 2,429,455:


Ask a Question