Q: What are the factor combinations of the number 6,472,025?

 A:
Positive:   1 x 64720255 x 12944057 x 92457525 x 25888131 x 20877535 x 184915155 x 41755175 x 36983217 x 29825775 x 83511085 x 59651193 x 5425
Negative: -1 x -6472025-5 x -1294405-7 x -924575-25 x -258881-31 x -208775-35 x -184915-155 x -41755-175 x -36983-217 x -29825-775 x -8351-1085 x -5965-1193 x -5425


How do I find the factor combinations of the number 6,472,025?

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 6,472,025, 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 6,472,025
-1 -6,472,025

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 6,472,025.

Example:
1 x 6,472,025 = 6,472,025
and
-1 x -6,472,025 = 6,472,025
Notice both answers equal 6,472,025

With that explanation out of the way, let's continue. Next, we take the number 6,472,025 and divide it by 2:

6,472,025 ÷ 2 = 3,236,012.5

If the quotient is a whole number, then 2 and 3,236,012.5 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 6,472,025
-1 -6,472,025

Now, we try dividing 6,472,025 by 3:

6,472,025 ÷ 3 = 2,157,341.6667

If the quotient is a whole number, then 3 and 2,157,341.6667 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 6,472,025
-1 -6,472,025

Let's try dividing by 4:

6,472,025 ÷ 4 = 1,618,006.25

If the quotient is a whole number, then 4 and 1,618,006.25 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 6,472,025
-1 6,472,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1572531351551752177751,0851,1935,4255,9658,35129,82536,98341,755184,915208,775258,881924,5751,294,4056,472,025
-1-5-7-25-31-35-155-175-217-775-1,085-1,193-5,425-5,965-8,351-29,825-36,983-41,755-184,915-208,775-258,881-924,575-1,294,405-6,472,025

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