Q: What are the factor combinations of the number 7,377,535?

 A:
Positive:   1 x 73775355 x 147550711 x 67068531 x 23798555 x 134137155 x 47597341 x 216351705 x 4327
Negative: -1 x -7377535-5 x -1475507-11 x -670685-31 x -237985-55 x -134137-155 x -47597-341 x -21635-1705 x -4327


How do I find the factor combinations of the number 7,377,535?

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 7,377,535, 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 7,377,535
-1 -7,377,535

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 7,377,535.

Example:
1 x 7,377,535 = 7,377,535
and
-1 x -7,377,535 = 7,377,535
Notice both answers equal 7,377,535

With that explanation out of the way, let's continue. Next, we take the number 7,377,535 and divide it by 2:

7,377,535 ÷ 2 = 3,688,767.5

If the quotient is a whole number, then 2 and 3,688,767.5 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 7,377,535
-1 -7,377,535

Now, we try dividing 7,377,535 by 3:

7,377,535 ÷ 3 = 2,459,178.3333

If the quotient is a whole number, then 3 and 2,459,178.3333 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 7,377,535
-1 -7,377,535

Let's try dividing by 4:

7,377,535 ÷ 4 = 1,844,383.75

If the quotient is a whole number, then 4 and 1,844,383.75 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 7,377,535
-1 7,377,535
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,7054,32721,63547,597134,137237,985670,6851,475,5077,377,535
-1-5-11-31-55-155-341-1,705-4,327-21,635-47,597-134,137-237,985-670,685-1,475,507-7,377,535

More Examples

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