Q: What are the factor combinations of the number 1,425,379?

 A:
Positive:   1 x 142537923 x 6197329 x 49151667 x 2137
Negative: -1 x -1425379-23 x -61973-29 x -49151-667 x -2137


How do I find the factor combinations of the number 1,425,379?

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 1,425,379, 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 1,425,379
-1 -1,425,379

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 1,425,379.

Example:
1 x 1,425,379 = 1,425,379
and
-1 x -1,425,379 = 1,425,379
Notice both answers equal 1,425,379

With that explanation out of the way, let's continue. Next, we take the number 1,425,379 and divide it by 2:

1,425,379 ÷ 2 = 712,689.5

If the quotient is a whole number, then 2 and 712,689.5 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 1,425,379
-1 -1,425,379

Now, we try dividing 1,425,379 by 3:

1,425,379 ÷ 3 = 475,126.3333

If the quotient is a whole number, then 3 and 475,126.3333 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 1,425,379
-1 -1,425,379

Let's try dividing by 4:

1,425,379 ÷ 4 = 356,344.75

If the quotient is a whole number, then 4 and 356,344.75 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 1,425,379
-1 1,425,379
Keep dividing by the next highest number until you cannot divide anymore.

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

123296672,13749,15161,9731,425,379
-1-23-29-667-2,137-49,151-61,973-1,425,379

More Examples

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