Q: What are the prime factors of the number 5,570,048?

 A: 2, 11, 23, 43

Why are those the prime factors of the number 5,570,048?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 5,570,048

5,570,048
Factor Arrows
22,785,024
Factor Arrows
21,392,512
Factor Arrows
2696,256
Factor Arrows
2348,128
Factor Arrows
2174,064
Factor Arrows
287,032
Factor Arrows
243,516
Factor Arrows
221,758
Factor Arrows
210,879
Factor Arrows
11989
Factor Arrows
2343

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 11, 23, 43

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 23 x 43 = 5,570,048

This can also be written as 29 x 111 x 231 x 431 = 5,570,048

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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