Q: What are the factor combinations of the number 1,421,147?

 A:
Positive:   1 x 14211477 x 20302113 x 10931923 x 6178949 x 2900391 x 1561797 x 14651161 x 8827299 x 4753637 x 2231679 x 20931127 x 1261
Negative: -1 x -1421147-7 x -203021-13 x -109319-23 x -61789-49 x -29003-91 x -15617-97 x -14651-161 x -8827-299 x -4753-637 x -2231-679 x -2093-1127 x -1261


How do I find the factor combinations of the number 1,421,147?

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 1,421,147, 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 1,421,147
-1 -1,421,147

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 1,421,147.

Example:
1 x 1,421,147 = 1,421,147
and
-1 x -1,421,147 = 1,421,147
Notice both answers equal 1,421,147

With that explanation out of the way, let's continue. Next, we take the number 1,421,147 and divide it by 2:

1,421,147 ÷ 2 = 710,573.5

If the quotient is a whole number, then 2 and 710,573.5 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 1,421,147
-1 -1,421,147

Now, we try dividing 1,421,147 by 3:

1,421,147 ÷ 3 = 473,715.6667

If the quotient is a whole number, then 3 and 473,715.6667 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 1,421,147
-1 -1,421,147

Let's try dividing by 4:

1,421,147 ÷ 4 = 355,286.75

If the quotient is a whole number, then 4 and 355,286.75 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 1,421,147
-1 1,421,147
Keep dividing by the next highest number until you cannot divide anymore.

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

1713234991971612996376791,1271,2612,0932,2314,7538,82714,65115,61729,00361,789109,319203,0211,421,147
-1-7-13-23-49-91-97-161-299-637-679-1,127-1,261-2,093-2,231-4,753-8,827-14,651-15,617-29,003-61,789-109,319-203,021-1,421,147

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,421,147:


Ask a Question