Q: What are the factor combinations of the number 369,492?

 A:
Positive:   1 x 3694922 x 1847463 x 1231644 x 923736 x 6158212 x 3079141 x 901282 x 4506123 x 3004164 x 2253246 x 1502492 x 751
Negative: -1 x -369492-2 x -184746-3 x -123164-4 x -92373-6 x -61582-12 x -30791-41 x -9012-82 x -4506-123 x -3004-164 x -2253-246 x -1502-492 x -751


How do I find the factor combinations of the number 369,492?

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 369,492, 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.

1 369,492
-1 -369,492

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 369,492.

Example:
1 x 369,492 = 369,492
and
-1 x -369,492 = 369,492
Notice both answers equal 369,492

With that explanation out of the way, let's continue. Next, we take the number 369,492 and divide it by 2:

369,492 ÷ 2 = 184,746

If the quotient is a whole number, then 2 and 184,746 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 184,746 369,492
-1 -2 -184,746 -369,492

Now, we try dividing 369,492 by 3:

369,492 ÷ 3 = 123,164

If the quotient is a whole number, then 3 and 123,164 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 123,164 184,746 369,492
-1 -2 -3 -123,164 -184,746 -369,492

Let's try dividing by 4:

369,492 ÷ 4 = 92,373

If the quotient is a whole number, then 4 and 92,373 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 92,373 123,164 184,746 369,492
-1 -2 -3 -4 -92,373 -123,164 -184,746 369,492
Keep dividing by the next highest number until you cannot divide anymore.

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

123461241821231642464927511,5022,2533,0044,5069,01230,79161,58292,373123,164184,746369,492
-1-2-3-4-6-12-41-82-123-164-246-492-751-1,502-2,253-3,004-4,506-9,012-30,791-61,582-92,373-123,164-184,746-369,492

More Examples

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