Q: What are the factor combinations of the number 1,702,745?

 A:
Positive:   1 x 17027455 x 34054911 x 15479555 x 3095983 x 20515373 x 4565415 x 4103913 x 1865
Negative: -1 x -1702745-5 x -340549-11 x -154795-55 x -30959-83 x -20515-373 x -4565-415 x -4103-913 x -1865


How do I find the factor combinations of the number 1,702,745?

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 1,702,745, 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 1,702,745
-1 -1,702,745

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 1,702,745.

Example:
1 x 1,702,745 = 1,702,745
and
-1 x -1,702,745 = 1,702,745
Notice both answers equal 1,702,745

With that explanation out of the way, let's continue. Next, we take the number 1,702,745 and divide it by 2:

1,702,745 ÷ 2 = 851,372.5

If the quotient is a whole number, then 2 and 851,372.5 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 1,702,745
-1 -1,702,745

Now, we try dividing 1,702,745 by 3:

1,702,745 ÷ 3 = 567,581.6667

If the quotient is a whole number, then 3 and 567,581.6667 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 1,702,745
-1 -1,702,745

Let's try dividing by 4:

1,702,745 ÷ 4 = 425,686.25

If the quotient is a whole number, then 4 and 425,686.25 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 1,702,745
-1 1,702,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151155833734159131,8654,1034,56520,51530,959154,795340,5491,702,745
-1-5-11-55-83-373-415-913-1,865-4,103-4,565-20,515-30,959-154,795-340,549-1,702,745

More Examples

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