Q: What are the factor combinations of the number 4,620,125?

 A:
Positive:   1 x 46201255 x 92402523 x 20087525 x 184805115 x 40175125 x 36961575 x 80351607 x 2875
Negative: -1 x -4620125-5 x -924025-23 x -200875-25 x -184805-115 x -40175-125 x -36961-575 x -8035-1607 x -2875


How do I find the factor combinations of the number 4,620,125?

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 4,620,125, 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 4,620,125
-1 -4,620,125

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 4,620,125.

Example:
1 x 4,620,125 = 4,620,125
and
-1 x -4,620,125 = 4,620,125
Notice both answers equal 4,620,125

With that explanation out of the way, let's continue. Next, we take the number 4,620,125 and divide it by 2:

4,620,125 ÷ 2 = 2,310,062.5

If the quotient is a whole number, then 2 and 2,310,062.5 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 4,620,125
-1 -4,620,125

Now, we try dividing 4,620,125 by 3:

4,620,125 ÷ 3 = 1,540,041.6667

If the quotient is a whole number, then 3 and 1,540,041.6667 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 4,620,125
-1 -4,620,125

Let's try dividing by 4:

4,620,125 ÷ 4 = 1,155,031.25

If the quotient is a whole number, then 4 and 1,155,031.25 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 4,620,125
-1 4,620,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251151255751,6072,8758,03536,96140,175184,805200,875924,0254,620,125
-1-5-23-25-115-125-575-1,607-2,875-8,035-36,961-40,175-184,805-200,875-924,025-4,620,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 4,620,125:


Ask a Question