Q: What are the factor combinations of the number 1,370,147?

 A:
Positive:   1 x 137014719 x 7211337 x 37031703 x 1949
Negative: -1 x -1370147-19 x -72113-37 x -37031-703 x -1949


How do I find the factor combinations of the number 1,370,147?

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 1,370,147, 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 1,370,147
-1 -1,370,147

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 1,370,147.

Example:
1 x 1,370,147 = 1,370,147
and
-1 x -1,370,147 = 1,370,147
Notice both answers equal 1,370,147

With that explanation out of the way, let's continue. Next, we take the number 1,370,147 and divide it by 2:

1,370,147 ÷ 2 = 685,073.5

If the quotient is a whole number, then 2 and 685,073.5 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 1,370,147
-1 -1,370,147

Now, we try dividing 1,370,147 by 3:

1,370,147 ÷ 3 = 456,715.6667

If the quotient is a whole number, then 3 and 456,715.6667 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 1,370,147
-1 -1,370,147

Let's try dividing by 4:

1,370,147 ÷ 4 = 342,536.75

If the quotient is a whole number, then 4 and 342,536.75 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 1,370,147
-1 1,370,147
Keep dividing by the next highest number until you cannot divide anymore.

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

119377031,94937,03172,1131,370,147
-1-19-37-703-1,949-37,031-72,113-1,370,147

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,370,147:


Ask a Question