Q: What are the factor combinations of the number 420,344,124?

 A:
Positive:   1 x 4203441242 x 2101720623 x 1401147084 x 1050860316 x 7005735412 x 3502867737 x 1136065247 x 894349274 x 568032694 x 4471746111 x 3786884141 x 2981164148 x 2840163188 x 2235873222 x 1893442282 x 1490582444 x 946721564 x 7452911739 x 2417163478 x 1208585217 x 805726956 x 6042910434 x 4028620143 x 20868
Negative: -1 x -420344124-2 x -210172062-3 x -140114708-4 x -105086031-6 x -70057354-12 x -35028677-37 x -11360652-47 x -8943492-74 x -5680326-94 x -4471746-111 x -3786884-141 x -2981164-148 x -2840163-188 x -2235873-222 x -1893442-282 x -1490582-444 x -946721-564 x -745291-1739 x -241716-3478 x -120858-5217 x -80572-6956 x -60429-10434 x -40286-20143 x -20868


How do I find the factor combinations of the number 420,344,124?

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 420,344,124, 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.

1 420,344,124
-1 -420,344,124

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 420,344,124.

Example:
1 x 420,344,124 = 420,344,124
and
-1 x -420,344,124 = 420,344,124
Notice both answers equal 420,344,124

With that explanation out of the way, let's continue. Next, we take the number 420,344,124 and divide it by 2:

420,344,124 ÷ 2 = 210,172,062

If the quotient is a whole number, then 2 and 210,172,062 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 2 210,172,062 420,344,124
-1 -2 -210,172,062 -420,344,124

Now, we try dividing 420,344,124 by 3:

420,344,124 ÷ 3 = 140,114,708

If the quotient is a whole number, then 3 and 140,114,708 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 3 140,114,708 210,172,062 420,344,124
-1 -2 -3 -140,114,708 -210,172,062 -420,344,124

Let's try dividing by 4:

420,344,124 ÷ 4 = 105,086,031

If the quotient is a whole number, then 4 and 105,086,031 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 4 105,086,031 140,114,708 210,172,062 420,344,124
-1 -2 -3 -4 -105,086,031 -140,114,708 -210,172,062 420,344,124
Keep dividing by the next highest number until you cannot divide anymore.

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

1234612374774941111411481882222824445641,7393,4785,2176,95610,43420,14320,86840,28660,42980,572120,858241,716745,291946,7211,490,5821,893,4422,235,8732,840,1632,981,1643,786,8844,471,7465,680,3268,943,49211,360,65235,028,67770,057,354105,086,031140,114,708210,172,062420,344,124
-1-2-3-4-6-12-37-47-74-94-111-141-148-188-222-282-444-564-1,739-3,478-5,217-6,956-10,434-20,143-20,868-40,286-60,429-80,572-120,858-241,716-745,291-946,721-1,490,582-1,893,442-2,235,873-2,840,163-2,981,164-3,786,884-4,471,746-5,680,326-8,943,492-11,360,652-35,028,677-70,057,354-105,086,031-140,114,708-210,172,062-420,344,124

More Examples

Here are some more numbers to try:

420,344,122420,344,123420,344,125420,344,126
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