Q: What are the factor combinations of the number 24,325,301?

 A:
Positive:   1 x 243253017 x 347504311 x 221139113 x 187117719 x 128027977 x 31591391 x 267311133 x 182897143 x 170107209 x 116389247 x 984831001 x 243011279 x 190191463 x 166271729 x 140692717 x 8953
Negative: -1 x -24325301-7 x -3475043-11 x -2211391-13 x -1871177-19 x -1280279-77 x -315913-91 x -267311-133 x -182897-143 x -170107-209 x -116389-247 x -98483-1001 x -24301-1279 x -19019-1463 x -16627-1729 x -14069-2717 x -8953


How do I find the factor combinations of the number 24,325,301?

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 24,325,301, 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 24,325,301
-1 -24,325,301

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 24,325,301.

Example:
1 x 24,325,301 = 24,325,301
and
-1 x -24,325,301 = 24,325,301
Notice both answers equal 24,325,301

With that explanation out of the way, let's continue. Next, we take the number 24,325,301 and divide it by 2:

24,325,301 ÷ 2 = 12,162,650.5

If the quotient is a whole number, then 2 and 12,162,650.5 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 24,325,301
-1 -24,325,301

Now, we try dividing 24,325,301 by 3:

24,325,301 ÷ 3 = 8,108,433.6667

If the quotient is a whole number, then 3 and 8,108,433.6667 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 24,325,301
-1 -24,325,301

Let's try dividing by 4:

24,325,301 ÷ 4 = 6,081,325.25

If the quotient is a whole number, then 4 and 6,081,325.25 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 24,325,301
-1 24,325,301
Keep dividing by the next highest number until you cannot divide anymore.

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

1711131977911331432092471,0011,2791,4631,7292,7178,95314,06916,62719,01924,30198,483116,389170,107182,897267,311315,9131,280,2791,871,1772,211,3913,475,04324,325,301
-1-7-11-13-19-77-91-133-143-209-247-1,001-1,279-1,463-1,729-2,717-8,953-14,069-16,627-19,019-24,301-98,483-116,389-170,107-182,897-267,311-315,913-1,280,279-1,871,177-2,211,391-3,475,043-24,325,301

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