Q: What are the factor combinations of the number 5,402,635?

 A:
Positive:   1 x 54026355 x 10805277 x 77180535 x 154361163 x 33145815 x 6629947 x 57051141 x 4735
Negative: -1 x -5402635-5 x -1080527-7 x -771805-35 x -154361-163 x -33145-815 x -6629-947 x -5705-1141 x -4735


How do I find the factor combinations of the number 5,402,635?

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 5,402,635, 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 5,402,635
-1 -5,402,635

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 5,402,635.

Example:
1 x 5,402,635 = 5,402,635
and
-1 x -5,402,635 = 5,402,635
Notice both answers equal 5,402,635

With that explanation out of the way, let's continue. Next, we take the number 5,402,635 and divide it by 2:

5,402,635 ÷ 2 = 2,701,317.5

If the quotient is a whole number, then 2 and 2,701,317.5 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 5,402,635
-1 -5,402,635

Now, we try dividing 5,402,635 by 3:

5,402,635 ÷ 3 = 1,800,878.3333

If the quotient is a whole number, then 3 and 1,800,878.3333 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 5,402,635
-1 -5,402,635

Let's try dividing by 4:

5,402,635 ÷ 4 = 1,350,658.75

If the quotient is a whole number, then 4 and 1,350,658.75 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 5,402,635
-1 5,402,635
Keep dividing by the next highest number until you cannot divide anymore.

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

157351638159471,1414,7355,7056,62933,145154,361771,8051,080,5275,402,635
-1-5-7-35-163-815-947-1,141-4,735-5,705-6,629-33,145-154,361-771,805-1,080,527-5,402,635

More Examples

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