Q: What are the factor combinations of the number 427,392?

 A:
Positive:   1 x 4273922 x 2136963 x 1424644 x 1068486 x 712327 x 610568 x 534249 x 4748812 x 3561614 x 3052816 x 2671218 x 2374421 x 2035224 x 1780828 x 1526432 x 1335636 x 1187242 x 1017648 x 890453 x 806456 x 763263 x 678464 x 667872 x 593684 x 508896 x 4452106 x 4032112 x 3816126 x 3392128 x 3339144 x 2968159 x 2688168 x 2544192 x 2226212 x 2016224 x 1908252 x 1696288 x 1484318 x 1344336 x 1272371 x 1152384 x 1113424 x 1008448 x 954477 x 896504 x 848576 x 742636 x 672
Negative: -1 x -427392-2 x -213696-3 x -142464-4 x -106848-6 x -71232-7 x -61056-8 x -53424-9 x -47488-12 x -35616-14 x -30528-16 x -26712-18 x -23744-21 x -20352-24 x -17808-28 x -15264-32 x -13356-36 x -11872-42 x -10176-48 x -8904-53 x -8064-56 x -7632-63 x -6784-64 x -6678-72 x -5936-84 x -5088-96 x -4452-106 x -4032-112 x -3816-126 x -3392-128 x -3339-144 x -2968-159 x -2688-168 x -2544-192 x -2226-212 x -2016-224 x -1908-252 x -1696-288 x -1484-318 x -1344-336 x -1272-371 x -1152-384 x -1113-424 x -1008-448 x -954-477 x -896-504 x -848-576 x -742-636 x -672


How do I find the factor combinations of the number 427,392?

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 427,392, 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.

1 427,392
-1 -427,392

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 427,392.

Example:
1 x 427,392 = 427,392
and
-1 x -427,392 = 427,392
Notice both answers equal 427,392

With that explanation out of the way, let's continue. Next, we take the number 427,392 and divide it by 2:

427,392 ÷ 2 = 213,696

If the quotient is a whole number, then 2 and 213,696 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 2 213,696 427,392
-1 -2 -213,696 -427,392

Now, we try dividing 427,392 by 3:

427,392 ÷ 3 = 142,464

If the quotient is a whole number, then 3 and 142,464 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 3 142,464 213,696 427,392
-1 -2 -3 -142,464 -213,696 -427,392

Let's try dividing by 4:

427,392 ÷ 4 = 106,848

If the quotient is a whole number, then 4 and 106,848 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 4 106,848 142,464 213,696 427,392
-1 -2 -3 -4 -106,848 -142,464 -213,696 427,392
Keep dividing by the next highest number until you cannot divide anymore.

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

123467891214161821242832364248535663647284961061121261281441591681922122242522883183363713844244484775045766366727428488969541,0081,1131,1521,2721,3441,4841,6961,9082,0162,2262,5442,6882,9683,3393,3923,8164,0324,4525,0885,9366,6786,7847,6328,0648,90410,17611,87213,35615,26417,80820,35223,74426,71230,52835,61647,48853,42461,05671,232106,848142,464213,696427,392
-1-2-3-4-6-7-8-9-12-14-16-18-21-24-28-32-36-42-48-53-56-63-64-72-84-96-106-112-126-128-144-159-168-192-212-224-252-288-318-336-371-384-424-448-477-504-576-636-672-742-848-896-954-1,008-1,113-1,152-1,272-1,344-1,484-1,696-1,908-2,016-2,226-2,544-2,688-2,968-3,339-3,392-3,816-4,032-4,452-5,088-5,936-6,678-6,784-7,632-8,064-8,904-10,176-11,872-13,356-15,264-17,808-20,352-23,744-26,712-30,528-35,616-47,488-53,424-61,056-71,232-106,848-142,464-213,696-427,392

More Examples

Here are some more numbers to try:

427,390427,391427,393427,394
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