Q: What are the factor combinations of the number 24,536,148?

 A:
Positive:   1 x 245361482 x 122680743 x 81787164 x 61340376 x 40893587 x 350516412 x 204467913 x 188739614 x 175258221 x 116838826 x 94369828 x 87629139 x 62913242 x 58419452 x 47184978 x 31456684 x 29209791 x 269628156 x 157283182 x 134814273 x 89876364 x 67407546 x 449381092 x 22469
Negative: -1 x -24536148-2 x -12268074-3 x -8178716-4 x -6134037-6 x -4089358-7 x -3505164-12 x -2044679-13 x -1887396-14 x -1752582-21 x -1168388-26 x -943698-28 x -876291-39 x -629132-42 x -584194-52 x -471849-78 x -314566-84 x -292097-91 x -269628-156 x -157283-182 x -134814-273 x -89876-364 x -67407-546 x -44938-1092 x -22469


How do I find the factor combinations of the number 24,536,148?

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 24,536,148, 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 24,536,148
-1 -24,536,148

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 24,536,148.

Example:
1 x 24,536,148 = 24,536,148
and
-1 x -24,536,148 = 24,536,148
Notice both answers equal 24,536,148

With that explanation out of the way, let's continue. Next, we take the number 24,536,148 and divide it by 2:

24,536,148 ÷ 2 = 12,268,074

If the quotient is a whole number, then 2 and 12,268,074 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 12,268,074 24,536,148
-1 -2 -12,268,074 -24,536,148

Now, we try dividing 24,536,148 by 3:

24,536,148 ÷ 3 = 8,178,716

If the quotient is a whole number, then 3 and 8,178,716 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 3 8,178,716 12,268,074 24,536,148
-1 -2 -3 -8,178,716 -12,268,074 -24,536,148

Let's try dividing by 4:

24,536,148 ÷ 4 = 6,134,037

If the quotient is a whole number, then 4 and 6,134,037 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 6,134,037 8,178,716 12,268,074 24,536,148
-1 -2 -3 -4 -6,134,037 -8,178,716 -12,268,074 24,536,148
Keep dividing by the next highest number until you cannot divide anymore.

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

1234671213142126283942527884911561822733645461,09222,46944,93867,40789,876134,814157,283269,628292,097314,566471,849584,194629,132876,291943,6981,168,3881,752,5821,887,3962,044,6793,505,1644,089,3586,134,0378,178,71612,268,07424,536,148
-1-2-3-4-6-7-12-13-14-21-26-28-39-42-52-78-84-91-156-182-273-364-546-1,092-22,469-44,938-67,407-89,876-134,814-157,283-269,628-292,097-314,566-471,849-584,194-629,132-876,291-943,698-1,168,388-1,752,582-1,887,396-2,044,679-3,505,164-4,089,358-6,134,037-8,178,716-12,268,074-24,536,148

More Examples

Here are some more numbers to try:

24,536,14624,536,14724,536,14924,536,150
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