Q: What are the prime factors of the number 88,046,420?

 A: 2, 5, 7, 11, 57173

Why are those the prime factors of the number 88,046,420?

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 88,046,420

88,046,420
Factor Arrows
244,023,210
Factor Arrows
222,011,605
Factor Arrows
54,402,321
Factor Arrows
7628,903
Factor Arrows
1157,173

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, 5, 7, 11, 57173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 11 x 57,173 = 88,046,420

This can also be written as 22 x 51 x 71 x 111 x 57,1731 = 88,046,420

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


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