Q: What are the factor combinations of the number 5,131,225?

 A:
Positive:   1 x 51312255 x 102624511 x 46647525 x 20524947 x 10917555 x 93295235 x 21835275 x 18659397 x 12925517 x 99251175 x 43671985 x 2585
Negative: -1 x -5131225-5 x -1026245-11 x -466475-25 x -205249-47 x -109175-55 x -93295-235 x -21835-275 x -18659-397 x -12925-517 x -9925-1175 x -4367-1985 x -2585


How do I find the factor combinations of the number 5,131,225?

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 5,131,225, 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 5,131,225
-1 -5,131,225

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 5,131,225.

Example:
1 x 5,131,225 = 5,131,225
and
-1 x -5,131,225 = 5,131,225
Notice both answers equal 5,131,225

With that explanation out of the way, let's continue. Next, we take the number 5,131,225 and divide it by 2:

5,131,225 ÷ 2 = 2,565,612.5

If the quotient is a whole number, then 2 and 2,565,612.5 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 5,131,225
-1 -5,131,225

Now, we try dividing 5,131,225 by 3:

5,131,225 ÷ 3 = 1,710,408.3333

If the quotient is a whole number, then 3 and 1,710,408.3333 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 5,131,225
-1 -5,131,225

Let's try dividing by 4:

5,131,225 ÷ 4 = 1,282,806.25

If the quotient is a whole number, then 4 and 1,282,806.25 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 5,131,225
-1 5,131,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15112547552352753975171,1751,9852,5854,3679,92512,92518,65921,83593,295109,175205,249466,4751,026,2455,131,225
-1-5-11-25-47-55-235-275-397-517-1,175-1,985-2,585-4,367-9,925-12,925-18,659-21,835-93,295-109,175-205,249-466,475-1,026,245-5,131,225

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,131,225:


Ask a Question