Q: What are the factor combinations of the number 5,035,145?

 A:
Positive:   1 x 50351455 x 100702917 x 29618537 x 13608585 x 59237185 x 27217629 x 80051601 x 3145
Negative: -1 x -5035145-5 x -1007029-17 x -296185-37 x -136085-85 x -59237-185 x -27217-629 x -8005-1601 x -3145


How do I find the factor combinations of the number 5,035,145?

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 5,035,145, 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 5,035,145
-1 -5,035,145

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 5,035,145.

Example:
1 x 5,035,145 = 5,035,145
and
-1 x -5,035,145 = 5,035,145
Notice both answers equal 5,035,145

With that explanation out of the way, let's continue. Next, we take the number 5,035,145 and divide it by 2:

5,035,145 ÷ 2 = 2,517,572.5

If the quotient is a whole number, then 2 and 2,517,572.5 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 5,035,145
-1 -5,035,145

Now, we try dividing 5,035,145 by 3:

5,035,145 ÷ 3 = 1,678,381.6667

If the quotient is a whole number, then 3 and 1,678,381.6667 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 5,035,145
-1 -5,035,145

Let's try dividing by 4:

5,035,145 ÷ 4 = 1,258,786.25

If the quotient is a whole number, then 4 and 1,258,786.25 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 5,035,145
-1 5,035,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151737851856291,6013,1458,00527,21759,237136,085296,1851,007,0295,035,145
-1-5-17-37-85-185-629-1,601-3,145-8,005-27,217-59,237-136,085-296,185-1,007,029-5,035,145

More Examples

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