Q: What are the factor combinations of the number 4,872,985?

 A:
Positive:   1 x 48729855 x 97459713 x 37484561 x 7988565 x 74969305 x 15977793 x 61451229 x 3965
Negative: -1 x -4872985-5 x -974597-13 x -374845-61 x -79885-65 x -74969-305 x -15977-793 x -6145-1229 x -3965


How do I find the factor combinations of the number 4,872,985?

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 4,872,985, 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 4,872,985
-1 -4,872,985

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 4,872,985.

Example:
1 x 4,872,985 = 4,872,985
and
-1 x -4,872,985 = 4,872,985
Notice both answers equal 4,872,985

With that explanation out of the way, let's continue. Next, we take the number 4,872,985 and divide it by 2:

4,872,985 ÷ 2 = 2,436,492.5

If the quotient is a whole number, then 2 and 2,436,492.5 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 4,872,985
-1 -4,872,985

Now, we try dividing 4,872,985 by 3:

4,872,985 ÷ 3 = 1,624,328.3333

If the quotient is a whole number, then 3 and 1,624,328.3333 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 4,872,985
-1 -4,872,985

Let's try dividing by 4:

4,872,985 ÷ 4 = 1,218,246.25

If the quotient is a whole number, then 4 and 1,218,246.25 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 4,872,985
-1 4,872,985
Keep dividing by the next highest number until you cannot divide anymore.

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

151361653057931,2293,9656,14515,97774,96979,885374,845974,5974,872,985
-1-5-13-61-65-305-793-1,229-3,965-6,145-15,977-74,969-79,885-374,845-974,597-4,872,985

More Examples

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