Q: What are the factor combinations of the number 5,105,045?

 A:
Positive:   1 x 51050455 x 102100911 x 46409555 x 92819101 x 50545505 x 10109919 x 55551111 x 4595
Negative: -1 x -5105045-5 x -1021009-11 x -464095-55 x -92819-101 x -50545-505 x -10109-919 x -5555-1111 x -4595


How do I find the factor combinations of the number 5,105,045?

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 5,105,045, 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 5,105,045
-1 -5,105,045

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 5,105,045.

Example:
1 x 5,105,045 = 5,105,045
and
-1 x -5,105,045 = 5,105,045
Notice both answers equal 5,105,045

With that explanation out of the way, let's continue. Next, we take the number 5,105,045 and divide it by 2:

5,105,045 ÷ 2 = 2,552,522.5

If the quotient is a whole number, then 2 and 2,552,522.5 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 5,105,045
-1 -5,105,045

Now, we try dividing 5,105,045 by 3:

5,105,045 ÷ 3 = 1,701,681.6667

If the quotient is a whole number, then 3 and 1,701,681.6667 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 5,105,045
-1 -5,105,045

Let's try dividing by 4:

5,105,045 ÷ 4 = 1,276,261.25

If the quotient is a whole number, then 4 and 1,276,261.25 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 5,105,045
-1 5,105,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551015059191,1114,5955,55510,10950,54592,819464,0951,021,0095,105,045
-1-5-11-55-101-505-919-1,111-4,595-5,555-10,109-50,545-92,819-464,095-1,021,009-5,105,045

More Examples

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