Q: What are the factor combinations of the number 52,150,985?

 A:
Positive:   1 x 521509855 x 1043019717 x 306770559 x 88391585 x 613541295 x 1767831003 x 519955015 x 10399
Negative: -1 x -52150985-5 x -10430197-17 x -3067705-59 x -883915-85 x -613541-295 x -176783-1003 x -51995-5015 x -10399


How do I find the factor combinations of the number 52,150,985?

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 52,150,985, 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 52,150,985
-1 -52,150,985

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 52,150,985.

Example:
1 x 52,150,985 = 52,150,985
and
-1 x -52,150,985 = 52,150,985
Notice both answers equal 52,150,985

With that explanation out of the way, let's continue. Next, we take the number 52,150,985 and divide it by 2:

52,150,985 ÷ 2 = 26,075,492.5

If the quotient is a whole number, then 2 and 26,075,492.5 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 52,150,985
-1 -52,150,985

Now, we try dividing 52,150,985 by 3:

52,150,985 ÷ 3 = 17,383,661.6667

If the quotient is a whole number, then 3 and 17,383,661.6667 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 52,150,985
-1 -52,150,985

Let's try dividing by 4:

52,150,985 ÷ 4 = 13,037,746.25

If the quotient is a whole number, then 4 and 13,037,746.25 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 52,150,985
-1 52,150,985
Keep dividing by the next highest number until you cannot divide anymore.

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

151759852951,0035,01510,39951,995176,783613,541883,9153,067,70510,430,19752,150,985
-1-5-17-59-85-295-1,003-5,015-10,399-51,995-176,783-613,541-883,915-3,067,705-10,430,197-52,150,985

More Examples

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