Q: What are the factor combinations of the number 46,416,132?

 A:
Positive:   1 x 464161322 x 232080663 x 154720444 x 116040336 x 77360227 x 66308769 x 515734812 x 386801114 x 331543818 x 257867421 x 221029227 x 171911628 x 165771936 x 128933742 x 110514649 x 94726854 x 85955863 x 73676484 x 55257398 x 473634108 x 429779126 x 368382147 x 315756179 x 259308189 x 245588196 x 236817252 x 184191294 x 157878343 x 135324358 x 129654378 x 122794441 x 105252537 x 86436588 x 78939686 x 67662716 x 64827756 x 61397882 x 526261029 x 451081074 x 432181253 x 370441323 x 350841372 x 338311611 x 288121764 x 263132058 x 225542148 x 216092401 x 193322506 x 185222646 x 175423087 x 150363222 x 144063759 x 123484116 x 112774802 x 96664833 x 96045012 x 92615292 x 87716174 x 75186444 x 7203
Negative: -1 x -46416132-2 x -23208066-3 x -15472044-4 x -11604033-6 x -7736022-7 x -6630876-9 x -5157348-12 x -3868011-14 x -3315438-18 x -2578674-21 x -2210292-27 x -1719116-28 x -1657719-36 x -1289337-42 x -1105146-49 x -947268-54 x -859558-63 x -736764-84 x -552573-98 x -473634-108 x -429779-126 x -368382-147 x -315756-179 x -259308-189 x -245588-196 x -236817-252 x -184191-294 x -157878-343 x -135324-358 x -129654-378 x -122794-441 x -105252-537 x -86436-588 x -78939-686 x -67662-716 x -64827-756 x -61397-882 x -52626-1029 x -45108-1074 x -43218-1253 x -37044-1323 x -35084-1372 x -33831-1611 x -28812-1764 x -26313-2058 x -22554-2148 x -21609-2401 x -19332-2506 x -18522-2646 x -17542-3087 x -15036-3222 x -14406-3759 x -12348-4116 x -11277-4802 x -9666-4833 x -9604-5012 x -9261-5292 x -8771-6174 x -7518-6444 x -7203


How do I find the factor combinations of the number 46,416,132?

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 46,416,132, 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 46,416,132
-1 -46,416,132

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 46,416,132.

Example:
1 x 46,416,132 = 46,416,132
and
-1 x -46,416,132 = 46,416,132
Notice both answers equal 46,416,132

With that explanation out of the way, let's continue. Next, we take the number 46,416,132 and divide it by 2:

46,416,132 ÷ 2 = 23,208,066

If the quotient is a whole number, then 2 and 23,208,066 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 23,208,066 46,416,132
-1 -2 -23,208,066 -46,416,132

Now, we try dividing 46,416,132 by 3:

46,416,132 ÷ 3 = 15,472,044

If the quotient is a whole number, then 3 and 15,472,044 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 15,472,044 23,208,066 46,416,132
-1 -2 -3 -15,472,044 -23,208,066 -46,416,132

Let's try dividing by 4:

46,416,132 ÷ 4 = 11,604,033

If the quotient is a whole number, then 4 and 11,604,033 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 11,604,033 15,472,044 23,208,066 46,416,132
-1 -2 -3 -4 -11,604,033 -15,472,044 -23,208,066 46,416,132
Keep dividing by the next highest number until you cannot divide anymore.

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

1234679121418212728364249546384981081261471791891962522943433583784415375886867167568821,0291,0741,2531,3231,3721,6111,7642,0582,1482,4012,5062,6463,0873,2223,7594,1164,8024,8335,0125,2926,1746,4447,2037,5188,7719,2619,6049,66611,27712,34814,40615,03617,54218,52219,33221,60922,55426,31328,81233,83135,08437,04443,21845,10852,62661,39764,82767,66278,93986,436105,252122,794129,654135,324157,878184,191236,817245,588259,308315,756368,382429,779473,634552,573736,764859,558947,2681,105,1461,289,3371,657,7191,719,1162,210,2922,578,6743,315,4383,868,0115,157,3486,630,8767,736,02211,604,03315,472,04423,208,06646,416,132
-1-2-3-4-6-7-9-12-14-18-21-27-28-36-42-49-54-63-84-98-108-126-147-179-189-196-252-294-343-358-378-441-537-588-686-716-756-882-1,029-1,074-1,253-1,323-1,372-1,611-1,764-2,058-2,148-2,401-2,506-2,646-3,087-3,222-3,759-4,116-4,802-4,833-5,012-5,292-6,174-6,444-7,203-7,518-8,771-9,261-9,604-9,666-11,277-12,348-14,406-15,036-17,542-18,522-19,332-21,609-22,554-26,313-28,812-33,831-35,084-37,044-43,218-45,108-52,626-61,397-64,827-67,662-78,939-86,436-105,252-122,794-129,654-135,324-157,878-184,191-236,817-245,588-259,308-315,756-368,382-429,779-473,634-552,573-736,764-859,558-947,268-1,105,146-1,289,337-1,657,719-1,719,116-2,210,292-2,578,674-3,315,438-3,868,011-5,157,348-6,630,876-7,736,022-11,604,033-15,472,044-23,208,066-46,416,132

More Examples

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46,416,13046,416,13146,416,13346,416,134
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