Q: What are the factor combinations of the number 521,251,225?

 A:
Positive:   1 x 5212512255 x 10425024511 x 4738647519 x 2743427525 x 2085004955 x 947729595 x 5486855209 x 2494025275 x 1895459475 x 10973711045 x 4988055225 x 99761
Negative: -1 x -521251225-5 x -104250245-11 x -47386475-19 x -27434275-25 x -20850049-55 x -9477295-95 x -5486855-209 x -2494025-275 x -1895459-475 x -1097371-1045 x -498805-5225 x -99761


How do I find the factor combinations of the number 521,251,225?

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 521,251,225, 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.

1 521,251,225
-1 -521,251,225

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 521,251,225.

Example:
1 x 521,251,225 = 521,251,225
and
-1 x -521,251,225 = 521,251,225
Notice both answers equal 521,251,225

With that explanation out of the way, let's continue. Next, we take the number 521,251,225 and divide it by 2:

521,251,225 ÷ 2 = 260,625,612.5

If the quotient is a whole number, then 2 and 260,625,612.5 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:

1 521,251,225
-1 -521,251,225

Now, we try dividing 521,251,225 by 3:

521,251,225 ÷ 3 = 173,750,408.3333

If the quotient is a whole number, then 3 and 173,750,408.3333 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:

1 521,251,225
-1 -521,251,225

Let's try dividing by 4:

521,251,225 ÷ 4 = 130,312,806.25

If the quotient is a whole number, then 4 and 130,312,806.25 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:

1 521,251,225
-1 521,251,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1511192555952092754751,0455,22599,761498,8051,097,3711,895,4592,494,0255,486,8559,477,29520,850,04927,434,27547,386,475104,250,245521,251,225
-1-5-11-19-25-55-95-209-275-475-1,045-5,225-99,761-498,805-1,097,371-1,895,459-2,494,025-5,486,855-9,477,295-20,850,049-27,434,275-47,386,475-104,250,245-521,251,225

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 521,251,225:


Ask a Question