Q: What are the factor combinations of the number 1,501,045?

 A:
Positive:   1 x 15010455 x 3002097 x 21443513 x 11546535 x 4288765 x 2309391 x 16495455 x 3299
Negative: -1 x -1501045-5 x -300209-7 x -214435-13 x -115465-35 x -42887-65 x -23093-91 x -16495-455 x -3299


How do I find the factor combinations of the number 1,501,045?

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 1,501,045, 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 1,501,045
-1 -1,501,045

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 1,501,045.

Example:
1 x 1,501,045 = 1,501,045
and
-1 x -1,501,045 = 1,501,045
Notice both answers equal 1,501,045

With that explanation out of the way, let's continue. Next, we take the number 1,501,045 and divide it by 2:

1,501,045 ÷ 2 = 750,522.5

If the quotient is a whole number, then 2 and 750,522.5 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 1,501,045
-1 -1,501,045

Now, we try dividing 1,501,045 by 3:

1,501,045 ÷ 3 = 500,348.3333

If the quotient is a whole number, then 3 and 500,348.3333 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 1,501,045
-1 -1,501,045

Let's try dividing by 4:

1,501,045 ÷ 4 = 375,261.25

If the quotient is a whole number, then 4 and 375,261.25 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 1,501,045
-1 1,501,045
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565914553,29916,49523,09342,887115,465214,435300,2091,501,045
-1-5-7-13-35-65-91-455-3,299-16,495-23,093-42,887-115,465-214,435-300,209-1,501,045

More Examples

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