Q: What are the factor combinations of the number 789,432?

 A:
Positive:   1 x 7894322 x 3947163 x 2631444 x 1973586 x 1315727 x 1127768 x 9867912 x 6578614 x 5638821 x 3759224 x 3289328 x 2819437 x 2133642 x 1879656 x 1409774 x 1066884 x 9398111 x 7112127 x 6216148 x 5334168 x 4699222 x 3556254 x 3108259 x 3048296 x 2667381 x 2072444 x 1778508 x 1554518 x 1524762 x 1036777 x 1016888 x 889
Negative: -1 x -789432-2 x -394716-3 x -263144-4 x -197358-6 x -131572-7 x -112776-8 x -98679-12 x -65786-14 x -56388-21 x -37592-24 x -32893-28 x -28194-37 x -21336-42 x -18796-56 x -14097-74 x -10668-84 x -9398-111 x -7112-127 x -6216-148 x -5334-168 x -4699-222 x -3556-254 x -3108-259 x -3048-296 x -2667-381 x -2072-444 x -1778-508 x -1554-518 x -1524-762 x -1036-777 x -1016-888 x -889


How do I find the factor combinations of the number 789,432?

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 789,432, 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.

1 789,432
-1 -789,432

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 789,432.

Example:
1 x 789,432 = 789,432
and
-1 x -789,432 = 789,432
Notice both answers equal 789,432

With that explanation out of the way, let's continue. Next, we take the number 789,432 and divide it by 2:

789,432 ÷ 2 = 394,716

If the quotient is a whole number, then 2 and 394,716 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 2 394,716 789,432
-1 -2 -394,716 -789,432

Now, we try dividing 789,432 by 3:

789,432 ÷ 3 = 263,144

If the quotient is a whole number, then 3 and 263,144 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 3 263,144 394,716 789,432
-1 -2 -3 -263,144 -394,716 -789,432

Let's try dividing by 4:

789,432 ÷ 4 = 197,358

If the quotient is a whole number, then 4 and 197,358 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 4 197,358 263,144 394,716 789,432
-1 -2 -3 -4 -197,358 -263,144 -394,716 789,432
Keep dividing by the next highest number until you cannot divide anymore.

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

1234678121421242837425674841111271481682222542592963814445085187627778888891,0161,0361,5241,5541,7782,0722,6673,0483,1083,5564,6995,3346,2167,1129,39810,66814,09718,79621,33628,19432,89337,59256,38865,78698,679112,776131,572197,358263,144394,716789,432
-1-2-3-4-6-7-8-12-14-21-24-28-37-42-56-74-84-111-127-148-168-222-254-259-296-381-444-508-518-762-777-888-889-1,016-1,036-1,524-1,554-1,778-2,072-2,667-3,048-3,108-3,556-4,699-5,334-6,216-7,112-9,398-10,668-14,097-18,796-21,336-28,194-32,893-37,592-56,388-65,786-98,679-112,776-131,572-197,358-263,144-394,716-789,432

More Examples

Here are some more numbers to try:

789,430789,431789,433789,434
Try the factor calculator

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